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40235217251352 = 23361349130760251
BaseRepresentation
bin10010010010111111111011…
…10101001110110000011000
312021110110010110200102120120
421021133331311032300120
520233203211104020402
6221323445330153240
711321620122511644
oct1111377565166030
9167413113612516
1040235217251352
1111902729232482
124619a30a22820
13195b21ab24bb6
149d1575899c24
1549b924d373bc
hex2497fdd4ec18

40235217251352 has 128 divisors (see below), whose sum is σ = 102610120032000. Its totient is φ = 13143792960000.

The previous prime is 40235217251347. The next prime is 40235217251357. The reversal of 40235217251352 is 25315271253204.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40235217251347) and next prime (40235217251357).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40235217251357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 667763227 + ... + 667823477.

It is an arithmetic number, because the mean of its divisors is an integer number (801641562750).

Almost surely, 240235217251352 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 40235217251352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51305060016000).

40235217251352 is an abundant number, since it is smaller than the sum of its proper divisors (62374902780648).

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

40235217251352 is a wasteful number, since it uses less digits than its factorization.

40235217251352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61977 (or 61973 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 40235217251352 in words is "forty trillion, two hundred thirty-five billion, two hundred seventeen million, two hundred fifty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 61 122 183 244 349 366 488 698 732 1047 1307 1396 1464 2094 2614 2792 3921 4188 5228 7842 8376 10456 15684 21289 31368 42578 60251 63867 79727 85156 120502 127734 159454 170312 180753 239181 241004 255468 318908 361506 456143 478362 482008 510936 637816 723012 912286 956724 1368429 1446024 1824572 1913448 2736858 3649144 3675311 5473716 7350622 10947432 11025933 14701244 21027599 22051866 27824723 29402488 42055198 44103732 55649446 63082797 78748057 83474169 84110396 88207464 111298892 126165594 157496114 166948338 168220792 222597784 236244171 252331188 314992228 333896676 472488342 504662376 629984456 667793352 944976684 1282683539 1889953368 2565367078 3848050617 4803631477 5130734156 7696101234 9607262954 10261468312 14410894431 15392202468 19214525908 27483071893 28821788862 30784404936 38429051816 54966143786 57643577724 82449215679 109932287572 115287155448 164898431358 219864575144 329796862716 659593725432 1676467385473 3352934770946 5029402156419 6705869541892 10058804312838 13411739083784 20117608625676 40235217251352