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40356326641152 = 293223552721317
BaseRepresentation
bin10010010110100001100001…
…00000111000111000000000
312021220000201210100212210010
421023100300200320320000
520242144224110004102
6221455235052504520
711333435252365644
oct1113206040707000
9167800653325703
1040356326641152
111194a027335575
1246393b017b140
13196977bac9b22
149d73842a6c24
1549eb623cad6c
hex24b430838e00

40356326641152 has 160 divisors (see below), whose sum is σ = 108018498373632. Its totient is φ = 13388734439424.

The previous prime is 40356326641151. The next prime is 40356326641153. The reversal of 40356326641152 is 25114662365304.

It is an interprime number because it is at equal distance from previous prime (40356326641151) and next prime (40356326641153).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40356326641151) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1893141598 + ... + 1893162914.

Almost surely, 240356326641152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40356326641152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54009249186816).

40356326641152 is an abundant number, since it is smaller than the sum of its proper divisors (67662171732480).

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

40356326641152 is a wasteful number, since it uses less digits than its factorization.

40356326641152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27088 (or 27072 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 48.

The spelling of 40356326641152 in words is "forty trillion, three hundred fifty-six billion, three hundred twenty-six million, six hundred forty-one thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 223 256 384 446 512 669 768 892 1338 1536 1784 2676 3568 5352 5527 7136 10704 11054 14272 16581 21317 21408 22108 28544 33162 42634 42816 44216 57088 63951 66324 85268 85632 88432 114176 127902 132648 170536 171264 176864 255804 265296 341072 342528 353728 511608 530592 682144 707456 1023216 1061184 1232521 1364288 1414912 2046432 2122368 2465042 2728576 2829824 3697563 4092864 4244736 4753691 4930084 5457152 7395126 8185728 8489472 9507382 9860168 10914304 14261073 14790252 16371456 19014764 19720336 28522146 29580504 32742912 38029528 39440672 57044292 59161008 76059056 78881344 114088584 117819059 118322016 152118112 157762688 228177168 235638118 236644032 304236224 315525376 353457177 456354336 471276236 473288064 608472448 631050752 706914354 912708672 942552472 946576128 1216944896 1413828708 1825417344 1885104944 1893152256 2433889792 2827657416 3650834688 3770209888 5655314832 7301669376 7540419776 11310629664 15080839552 22621259328 26273650157 30161679104 45242518656 52547300314 60323358208 78820950471 90485037312 105094600628 157641900942 180970074624 210189201256 315283801884 420378402512 630567603768 840756805024 1261135207536 1681513610048 2522270415072 3363027220096 5044540830144 6726054440192 10089081660288 13452108880384 20178163320576 40356326641152