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140121430040000 = 265425511373201
BaseRepresentation
bin11111110111000010010000…
…000100000001110111000000
3200101010110220101021201012002
4133313002100010001313000
5121331222142042240000
61214002521334123132
741341303442430233
oct3767022004016700
9611113811251162
10140121430040000
114071318a332602
121387057b4b04a8
136025517c63786
142685cb052541a
15112ed2ecbc8d5
hex7f7090101dc0

140121430040000 has 140 divisors (see below), whose sum is σ = 347592063847248. Its totient is φ = 56026560000000.

The previous prime is 140121430039967. The next prime is 140121430040003. The reversal of 140121430040000 is 40034121041.

It is a super-2 number, since 2×1401214300400002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140121430040003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 101353400 + ... + 102726600.

Almost surely, 2140121430040000 is an apocalyptic number.

140121430040000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140121430040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173796031923624).

140121430040000 is an abundant number, since it is smaller than the sum of its proper divisors (207470633807248).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

140121430040000 is an equidigital number, since it uses as much as digits as its factorization.

140121430040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1375784 (or 1375759 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 140121430040000 its reverse (40034121041), we get a palindrome (140161464161041).

The spelling of 140121430040000 in words is "one hundred forty trillion, one hundred twenty-one billion, four hundred thirty million, forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 625 800 1000 1250 1600 2000 2500 2551 4000 5000 5102 8000 10000 10204 12755 20000 20408 25510 40000 40816 51020 63775 81632 102040 127550 163264 204080 255100 318875 408160 510200 637750 816320 1020400 1275500 1373201 1594375 2040800 2551000 2746402 3188750 4081600 5102000 5492804 6377500 6866005 10204000 10985608 12755000 13732010 20408000 21971216 25510000 27464020 34330025 43942432 51020000 54928040 68660050 87884864 102040000 109856080 137320100 171650125 219712160 274640200 343300250 439424320 549280400 686600500 858250625 1098560800 1373201000 1716501250 2197121600 2746402000 3433002500 3503035751 5492804000 6866005000 7006071502 10985608000 13732010000 14012143004 17515178755 27464020000 28024286008 35030357510 54928040000 56048572016 70060715020 87575893775 112097144032 140121430040 175151787550 224194288064 280242860080 350303575100 437879468875 560485720160 700607150200 875758937750 1120971440320 1401214300400 1751517875500 2189397344375 2802428600800 3503035751000 4378794688750 5604857201600 7006071502000 8757589377500 14012143004000 17515178755000 28024286008000 35030357510000 70060715020000 140121430040000