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40344455151 = 32711131012439
BaseRepresentation
bin100101100100101101…
…111000011111101111
310212010200012200010200
4211210231320133233
51130111140031101
630311201404543
72625526132140
oct454455703757
9125120180120
1040344455151
1116123436320
12799b339753
133a5c546990
141d4a233ac7
1510b1d77986
hex964b787ef

40344455151 has 144 divisors (see below), whose sum is σ = 79206167040. Its totient is φ = 19110816000.

The previous prime is 40344455119. The next prime is 40344455153. The reversal of 40344455151 is 15155444304.

It is not a de Polignac number, because 40344455151 - 25 = 40344455119 is a prime.

It is a super-2 number, since 2×403444551512 (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 (40344455153) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 91900590 + ... + 91901028.

Almost surely, 240344455151 is an apocalyptic number.

40344455151 is a deficient number, since it is larger than the sum of its proper divisors (38861711889).

40344455151 is a wasteful number, since it uses less digits than its factorization.

40344455151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 678 (or 574 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 40344455151 its reverse (15155444304), we get a palindrome (55499899455).

The spelling of 40344455151 in words is "forty billion, three hundred forty-four million, four hundred fifty-five thousand, one hundred fifty-one".

Divisors: 1 3 7 9 11 13 21 33 39 63 77 91 99 101 117 143 231 273 303 429 439 693 707 819 909 1001 1111 1287 1313 1317 2121 3003 3073 3333 3939 3951 4829 5707 6363 7777 9009 9191 9219 9999 10201 11817 14443 14487 17121 23331 27573 27657 30603 33803 39949 43329 43461 44339 51363 62777 69993 71407 82719 91809 101101 101409 112211 119847 129987 132613 133017 188331 214221 303303 304227 310373 336633 359541 397839 399051 439439 487729 564993 576407 642663 785477 909909 928291 931119 1009899 1193517 1318317 1458743 1463187 1729221 2356431 2784873 2793357 3414103 3954951 4034849 4376229 4389561 4478239 5187663 6340477 7069293 8354619 10211201 10242309 12104547 13128687 13434717 19021431 30633603 30726927 31347673 36313641 40304151 44383339 49260629 57064293 58217107 91900809 94043019 133150017 147781887 174651321 282129057 344824403 399450051 407519749 443345661 523953963 640388177 1034473209 1222559247 1921164531 3103419627 3667677741 4482717239 5763493593 13448151717 40344455151