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40141421400 = 23352285723417
BaseRepresentation
bin100101011000100111…
…010111101101011000
310211121112011111012010
4211120213113231120
51124202200441100
630235105545520
72620512311043
oct453047275530
9124545144163
1040141421400
1116029871033
1279433452a0
133a29469872
141d2b2a1c5a
15109e11e750
hex9589d7b58

40141421400 has 96 divisors (see below), whose sum is σ = 124487277840. Its totient is φ = 10700175360.

The previous prime is 40141421399. The next prime is 40141421401. The reversal of 40141421400 is 412414104.

It is an interprime number because it is at equal distance from previous prime (40141421399) and next prime (40141421401).

It is a super-2 number, since 2×401414214002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40141421401) 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 23 ways as a sum of consecutive naturals, for example, 1702492 + ... + 1725908.

Almost surely, 240141421400 is an apocalyptic number.

40141421400 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

40141421400 is an abundant number, since it is smaller than the sum of its proper divisors (84345856440).

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

40141421400 is a wasteful number, since it uses less digits than its factorization.

40141421400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26293 (or 26284 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 40141421400 its reverse (412414104), we get a palindrome (40553835504).

The spelling of 40141421400 in words is "forty billion, one hundred forty-one million, four hundred twenty-one thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 2857 5714 8571 11428 14285 17142 22856 23417 28570 34284 42855 46834 57140 68568 70251 71425 85710 93668 114280 117085 140502 142850 171420 187336 214275 234170 281004 285700 342840 351255 428550 468340 562008 571400 585425 702510 857100 936680 1170850 1405020 1714200 1756275 2341700 2810040 3512550 4683400 7025100 14050200 66902369 133804738 200707107 267609476 334511845 401414214 535218952 669023690 802828428 1003535535 1338047380 1605656856 1672559225 2007071070 2676094760 3345118450 4014142140 5017677675 6690236900 8028284280 10035355350 13380473800 20070710700 40141421400