Search a number
-
+
40234431233430 = 23257338918844549
BaseRepresentation
bin10010010010111110011101…
…11110110011110110010110
312021110101002200122120200200
421021133032332303312112
520233200103343432210
6221323235331121330
711321561466461340
oct1111371676636626
9167411080576620
1040234431233430
1111902365581595
124619851743246
13195b124029235
149d14dd330290
1549b8cad230c0
hex2497cefb3d96

40234431233430 has 96 divisors (see below), whose sum is σ = 119589021864000. Its totient is φ = 9193727321856.

The previous prime is 40234431233417. The next prime is 40234431233483. The reversal of 40234431233430 is 3433213443204.

40234431233430 is a `hidden beast` number, since 4 + 0 + 2 + 3 + 4 + 4 + 312 + 334 + 3 + 0 = 666.

It is a super-2 number, since 2×402344312334302 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7287205 + ... + 11557344.

It is an arithmetic number, because the mean of its divisors is an integer number (1245718977750).

Almost surely, 240234431233430 is an apocalyptic number.

40234431233430 is an abundant number, since it is smaller than the sum of its proper divisors (79354590630570).

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

40234431233430 is a wasteful number, since it uses less digits than its factorization.

40234431233430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18847958 (or 18847955 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 40234431233430 its reverse (3433213443204), we get a palindrome (43667644676634).

The spelling of 40234431233430 in words is "forty trillion, two hundred thirty-four billion, four hundred thirty-one million, two hundred thirty-three thousand, four hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 3389 6778 10167 16945 20334 23723 30501 33890 47446 50835 61002 71169 101670 118615 142338 152505 213507 237230 305010 355845 427014 711690 1067535 2135070 18844549 37689098 56533647 94222745 113067294 131911843 169600941 188445490 263823686 282668235 339201882 395735529 565336470 659559215 791471058 848004705 1187206587 1319118430 1696009410 1978677645 2374413174 3957355290 5936032935 11872065870 63864176561 127728353122 191592529683 319320882805 383185059366 447049235927 574777589049 638641765610 894098471854 957962648415 1149555178098 1341147707781 1915925296830 2235246179635 2682295415562 2873887945245 4023443123343 4470492359270 5747775890490 6705738538905 8046886246686 13411477077810 20117215616715 40234431233430