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31974242454 = 23471119134909
BaseRepresentation
bin11101110001110100…
…000011100010010110
310001112100011210220000
4131301310003202112
51010440401224304
622404434552130
72211231401520
oct356164034226
9101470153800
1031974242454
1112618698670
126244138646
1330273c14bb
14179471aa10
15c720ee939
hex771d03896

31974242454 has 160 divisors (see below), whose sum is σ = 94026873600. Its totient is φ = 7867834560.

The previous prime is 31974242441. The next prime is 31974242491. The reversal of 31974242454 is 45424247913.

31974242454 is a `hidden beast` number, since 3 + 197 + 4 + 2 + 4 + 2 + 454 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 169552 + ... + 304460.

It is an arithmetic number, because the mean of its divisors is an integer number (587667960).

Almost surely, 231974242454 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31974242454, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47013436800).

31974242454 is an abundant number, since it is smaller than the sum of its proper divisors (62052631146).

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

31974242454 is a wasteful number, since it uses less digits than its factorization.

31974242454 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134960 (or 134951 counting only the distinct ones).

The product of its digits is 967680, while the sum is 45.

The spelling of 31974242454 in words is "thirty-one billion, nine hundred seventy-four million, two hundred forty-two thousand, four hundred fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 19 21 22 27 33 38 42 54 57 63 66 77 81 99 114 126 133 154 162 171 189 198 209 231 266 297 342 378 399 418 462 513 567 594 627 693 798 891 1026 1134 1197 1254 1386 1463 1539 1782 1881 2079 2394 2926 3078 3591 3762 4158 4389 5643 6237 7182 8778 10773 11286 12474 13167 16929 21546 26334 33858 39501 79002 118503 134909 237006 269818 404727 809454 944363 1214181 1483999 1888726 2428362 2563271 2833089 2967998 3642543 4451997 5126542 5666178 7285086 7689813 8499267 8903994 10387993 10927629 13355991 15379626 16998534 17942897 20775986 21855258 23069439 25497801 26711982 28195981 31163979 35885794 40067973 46138878 50995602 53828691 56391962 62327958 69208317 76493403 80135946 84587943 93491937 107657382 120203919 138416634 152986806 161486073 169175886 186983874 197371867 207624951 240407838 253763829 280475811 322972146 394743734 415249902 484458219 507527658 560951622 592115601 761291487 841427433 968916438 1184231202 1453374657 1522582974 1682854866 1776346803 2283874461 2906749314 3552693606 4567748922 5329040409 10658080818 15987121227 31974242454