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400042142241144 = 233131619791961923
BaseRepresentation
bin101101011110101100001000…
…1110010001001000101111000
31221110102122200201022210000220
41122331120101302021011320
5404413242301403204034
63534452453441300040
7150156043133031204
oct13275302162110570
91843378621283026
10400042142241144
11106513a13244167
1238a4aa20034620
131422aa7338ab10
1470b0200539b04
15313b032c23749
hex16bd611c89178

400042142241144 has 64 divisors (see below), whose sum is σ = 1077701786179200. Its totient is φ = 123013861420416.

The previous prime is 400042142241143. The next prime is 400042142241167. The reversal of 400042142241144 is 441142241240004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400042142241143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 395475834 + ... + 396486089.

It is an arithmetic number, because the mean of its divisors is an integer number (16839090409050).

Almost surely, 2400042142241144 is an apocalyptic number.

It is an amenable number.

400042142241144 is an abundant number, since it is smaller than the sum of its proper divisors (677659643938056).

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

400042142241144 is a wasteful number, since it uses less digits than its factorization.

400042142241144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 791963564 (or 791963560 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 33.

Adding to 400042142241144 its reverse (441142241240004), we get a palindrome (841184383481148).

The spelling of 400042142241144 in words is "four hundred trillion, forty-two billion, one hundred forty-two million, two hundred forty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 1619 3238 4857 6476 9714 12952 19428 21047 38856 42094 63141 84188 126282 168376 252564 505128 791961923 1583923846 2375885769 3167847692 4751771538 6335695384 9503543076 10295504999 19007086152 20591009998 30886514997 41182019996 61773029994 82364039992 123546059988 247092119976 1282186353337 2564372706674 3846559060011 5128745413348 7693118120022 10257490826696 15386236240044 16668422593381 30772472480088 33336845186762 50005267780143 66673690373524 100010535560286 133347380747048 200021071120572 400042142241144