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31551240042 = 235725212543
BaseRepresentation
bin11101011000100110…
…011011011101101010
310000102212020001200000
4131120212123131222
51004104104140132
622254444323430
72164604054400
oct353046333552
9100385201600
1031551240042
11124209416a3
126146543576
132c8a88800a
141754489470
15c49de587c
hex75899b76a

31551240042 has 144 divisors (see below), whose sum is σ = 82658040192. Its totient is φ = 8993799360.

The previous prime is 31551240037. The next prime is 31551240059. The reversal of 31551240042 is 24004215513.

31551240042 is a `hidden beast` number, since 31 + 551 + 2 + 40 + 0 + 42 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31551239988 and 31551240015.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 12405823 + ... + 12408365.

It is an arithmetic number, because the mean of its divisors is an integer number (574014168).

Almost surely, 231551240042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31551240042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41329020096).

31551240042 is an abundant number, since it is smaller than the sum of its proper divisors (51106800150).

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

31551240042 is a wasteful number, since it uses less digits than its factorization.

31551240042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3095 (or 3076 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 31551240042 its reverse (24004215513), we get a palindrome (55555455555).

The spelling of 31551240042 in words is "thirty-one billion, five hundred fifty-one million, two hundred forty thousand, forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 243 294 378 441 486 521 567 882 1042 1134 1323 1563 1701 2543 2646 3126 3402 3647 3969 4689 5086 7294 7629 7938 9378 10941 11907 14067 15258 17801 21882 22887 23814 25529 28134 32823 35602 42201 45774 51058 53403 65646 68661 76587 84402 98469 106806 124607 126603 137322 153174 160209 196938 205983 229761 249214 253206 295407 320418 373821 411966 459522 480627 590814 617949 689283 747642 886221 961254 1121463 1235898 1324903 1378566 1441881 1772442 2067849 2242926 2649806 2883762 3364389 3974709 4135698 4325643 6203547 6728778 7949418 8651286 9274321 10093167 11924127 12407094 18548642 20186334 23848254 27822963 30279501 35772381 55645926 60559002 64920247 71544762 83468889 107317143 129840494 166937778 194760741 214634286 250406667 321951429 389521482 500813334 584282223 643902858 751220001 1168564446 1502440002 1752846669 2253660003 3505693338 4507320006 5258540007 10517080014 15775620021 31551240042