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140121408 = 2637137761
BaseRepresentation
bin10000101101000…
…01010101000000
3100202122220102210
420112201111000
5241332341113
621523142120
73321004140
oct1026412500
9322586383
10140121408
1172105319
123ab14940
132305069b
1414876920
15c47c6c3
hex85a1540

140121408 has 112 divisors (see below), whose sum is σ = 427353984. Its totient is φ = 39690240.

The previous prime is 140121407. The next prime is 140121427. The reversal of 140121408 is 804121041.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140121407) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 183748 + ... + 184508.

Almost surely, 2140121408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140121408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213676992).

140121408 is an abundant number, since it is smaller than the sum of its proper divisors (287232576).

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

140121408 is a wasteful number, since it uses less digits than its factorization.

140121408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 910 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 140121408 is about 11837.2888787932. The cubic root of 140121408 is about 519.3994645139.

Adding to 140121408 its reverse (804121041), we get a palindrome (944242449).

The spelling of 140121408 in words is "one hundred forty million, one hundred twenty-one thousand, four hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 137 168 192 224 274 336 411 448 548 672 761 822 959 1096 1344 1522 1644 1918 2192 2283 2877 3044 3288 3836 4384 4566 5327 5754 6088 6576 7672 8768 9132 10654 11508 12176 13152 15344 15981 18264 21308 23016 24352 26304 30688 31962 36528 42616 46032 48704 61376 63924 73056 85232 92064 104257 127848 146112 170464 184128 208514 255696 312771 340928 417028 511392 625542 729799 834056 1022784 1251084 1459598 1668112 2189397 2502168 2919196 3336224 4378794 5004336 5838392 6672448 8757588 10008672 11676784 17515176 20017344 23353568 35030352 46707136 70060704 140121408