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40037144266614 = 231131167563208129
BaseRepresentation
bin10010001101001110111111…
…10000110000011101110110
312020202111212102102021001210
421012213133300300131312
520221432032413012424
6221052450554502250
711301405521102145
oct1106473760603566
9166674772367053
1040037144266614
1111836726199380
1245a7572734986
131945642b07b51
149c5b456b575c
154966d0b5a729
hex2469dfc30776

40037144266614 has 128 divisors (see below), whose sum is σ = 90873141166080. Its totient is φ = 11650006425600.

The previous prime is 40037144266607. The next prime is 40037144266619. The reversal of 40037144266614 is 41666244173004.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40037144266619) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 192262902 + ... + 192471030.

It is an arithmetic number, because the mean of its divisors is an integer number (709946415360).

Almost surely, 240037144266614 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40037144266614, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45436570583040).

40037144266614 is an abundant number, since it is smaller than the sum of its proper divisors (50835996899466).

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

40037144266614 is a wasteful number, since it uses less digits than its factorization.

40037144266614 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208906.

The product of its (nonzero) digits is 2322432, while the sum is 48.

The spelling of 40037144266614 in words is "forty trillion, thirty-seven billion, one hundred forty-four million, two hundred sixty-six thousand, six hundred fourteen".

Divisors: 1 2 3 6 11 22 31 33 62 66 93 167 186 334 341 501 563 682 1002 1023 1126 1689 1837 2046 3378 3674 5177 5511 6193 10354 11022 12386 15531 17453 18579 31062 34906 37158 52359 56947 94021 104718 113894 170841 188042 191983 208129 282063 341682 383966 416258 564126 575949 624387 1034231 1151898 1248774 2068462 2289419 2914651 3102693 4578838 5829302 6205386 6451999 6868257 8743953 12903998 13736514 17487906 19355997 32061161 34757543 38711994 64122322 69515086 70971989 96183483 104272629 117176627 141943978 192366966 208545258 212915967 234353254 351529881 382332973 425831934 703059762 764665946 1077483833 1146998919 1288942897 2154967666 2293997838 2577885794 3232451499 3632475437 3866828691 6464902998 7264950874 7733657382 10897426311 11852322163 19568496709 21794852622 23704644326 35556966489 39136993418 39957229807 58705490127 71113932978 79914459614 117410980254 119871689421 215253463799 239743378842 430506927598 606623397979 645760391397 1213246795958 1291520782794 1819870193937 3639740387874 6672857377769 13345714755538 20018572133307 40037144266614