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40044152430 = 23251923733311
BaseRepresentation
bin100101010010110100…
…010100011001101110
310211100202010201020200
4211102310110121232
51124002300334210
630221313054330
72615221452042
oct452264243156
9124322121220
1040044152430
1115a89975457
1279168573a6
133a12271169
141d1c3c2022
1510958090c0
hex952d1466e

40044152430 has 144 divisors (see below), whose sum is σ = 112856125824. Its totient is φ = 9842705280.

The previous prime is 40044152429. The next prime is 40044152441. The reversal of 40044152430 is 3425144004.

It is a happy number.

40044152430 is a `hidden beast` number, since 4 + 0 + 0 + 4 + 415 + 243 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 40044152394 and 40044152403.

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 71 ways as a sum of consecutive naturals, for example, 1185475 + ... + 1218785.

It is an arithmetic number, because the mean of its divisors is an integer number (783723096).

Almost surely, 240044152430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40044152430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56428062912).

40044152430 is an abundant number, since it is smaller than the sum of its proper divisors (72811973394).

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

40044152430 is a wasteful number, since it uses less digits than its factorization.

40044152430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33399 (or 33377 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 40044152430 its reverse (3425144004), we get a palindrome (43469296434).

The spelling of 40044152430 in words is "forty billion, forty-four million, one hundred fifty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 37 38 45 57 74 90 95 111 114 171 185 190 222 285 333 342 361 370 555 570 666 703 722 855 1083 1110 1406 1665 1710 1805 2109 2166 3249 3330 3515 3610 4218 5415 6327 6498 7030 10545 10830 12654 13357 16245 21090 26714 31635 32490 33311 40071 63270 66622 66785 80142 99933 120213 133570 166555 199866 200355 240426 299799 333110 400710 499665 599598 601065 632909 999330 1202130 1232507 1265818 1498995 1898727 2465014 2997990 3164545 3697521 3797454 5696181 6162535 6329090 7395042 9493635 11092563 11392362 12025271 12325070 18487605 18987270 22185126 23417633 24050542 28480905 36075813 36975210 46835266 55462815 56961810 60126355 70252899 72151626 108227439 110925630 117088165 120252710 140505798 180379065 210758697 216454878 234176330 351264495 360758130 421517394 444935027 541137195 702528990 889870054 1053793485 1082274390 1334805081 2107586970 2224675135 2669610162 4004415243 4449350270 6674025405 8008830486 13348050810 20022076215 40044152430