Search a number
-
+
40931955990 = 2345418811399
BaseRepresentation
bin100110000111101111…
…000001010100010110
310220122121200210210000
4212013233001110112
51132312040042430
630445345512130
72646221612442
oct460757012426
9126577623700
1040931955990
11163a5027402
127b24042646
133b24187303
141da4285822
1510e8726e60
hex987bc1516

40931955990 has 160 divisors (see below), whose sum is σ = 112954564800. Its totient is φ = 10629273600.

The previous prime is 40931955973. The next prime is 40931956001. The reversal of 40931955990 is 9955913904.

40931955990 is a `hidden beast` number, since 40 + 9 + 3 + 1 + 9 + 5 + 599 + 0 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 29257311 + ... + 29258709.

It is an arithmetic number, because the mean of its divisors is an integer number (705966030).

Almost surely, 240931955990 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40931955990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56477282400).

40931955990 is an abundant number, since it is smaller than the sum of its proper divisors (72022608810).

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

40931955990 is a wasteful number, since it uses less digits than its factorization.

40931955990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2340 (or 2331 counting only the distinct ones).

The product of its (nonzero) digits is 1968300, while the sum is 54.

The spelling of 40931955990 in words is "forty billion, nine hundred thirty-one million, nine hundred fifty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 123 135 162 205 246 270 369 405 410 615 738 810 881 1107 1230 1399 1762 1845 2214 2643 2798 3321 3690 4197 4405 5286 5535 6642 6995 7929 8394 8810 11070 12591 13215 13990 15858 16605 20985 23787 25182 26430 33210 36121 37773 39645 41970 47574 57359 62955 71361 72242 75546 79290 108363 113319 114718 118935 125910 142722 172077 180605 188865 216726 226638 237870 286795 325089 344154 356805 361210 377730 516231 541815 566595 573590 650178 713610 860385 975267 1032462 1083630 1133190 1232519 1548693 1625445 1720770 1950534 2465038 2581155 2925801 3097386 3250890 3697557 4646079 4876335 5162310 5851602 6162595 7395114 7743465 9292158 9752670 11092671 12325190 14629005 15486930 18487785 22185342 23230395 29258010 33278013 36975570 46460790 50533279 55463355 66556026 99834039 101066558 110926710 151599837 166390065 199668078 252666395 303199674 332780130 454799511 499170195 505332790 757999185 909599022 998340390 1364398533 1515998370 2273997555 2728797066 4093195599 4547995110 6821992665 8186391198 13643985330 20465977995 40931955990