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340157264157672 = 2331341108217245723
BaseRepresentation
bin100110101010111110000100…
…0111001011101101111101000
31122121101201100121010120000220
41031111330020321131233220
5324041114034111021142
63203242031225130040
7131435360052033243
oct11525741071355750
91577351317116026
10340157264157672
119942598180a935
123219890b629920
13117a59001b3480
145ddd9b134225a
15294d40ec532ec
hex1355f08e5dbe8

340157264157672 has 128 divisors (see below), whose sum is σ = 938157286872960. Its totient is φ = 102109639495680.

The previous prime is 340157264157521. The next prime is 340157264157749. The reversal of 340157264157672 is 276751462751043.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1384189003 + ... + 1384434725.

It is an arithmetic number, because the mean of its divisors is an integer number (7329353803695).

Almost surely, 2340157264157672 is an apocalyptic number.

It is an amenable number.

340157264157672 is an abundant number, since it is smaller than the sum of its proper divisors (598000022715288).

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

340157264157672 is a wasteful number, since it uses less digits than its factorization.

340157264157672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354003 (or 353999 counting only the distinct ones).

The product of its (nonzero) digits is 59270400, while the sum is 60.

The spelling of 340157264157672 in words is "three hundred forty trillion, one hundred fifty-seven billion, two hundred sixty-four million, one hundred fifty-seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 41 52 78 82 104 123 156 164 246 312 328 492 533 984 1066 1599 2132 3198 4264 6396 12792 108217 216434 245723 324651 432868 491446 649302 737169 865736 982892 1298604 1406821 1474338 1965784 2597208 2813642 2948676 3194399 4220463 4436897 5627284 5897352 6388798 8440926 8873794 9583197 10074643 11254568 12777596 13310691 16881852 17747588 19166394 20149286 25555192 26621382 30223929 33763704 35495176 38332788 40298572 53242764 57679661 60447858 76665576 80597144 106485528 115359322 120895716 130970359 173038983 230718644 241791432 261940718 346077966 392911077 461437288 523881436 692155932 785822154 1047762872 1384311864 1571644308 3143288616 26591405891 53182811782 79774217673 106365623564 159548435346 212731247128 319096870692 345688276583 638193741384 691376553166 1037064829749 1090247641531 1382753106332 2074129659498 2180495283062 2765506212664 3270742924593 4148259318996 4360990566124 6541485849186 8296518637992 8721981132248 13082971698372 14173219339903 26165943396744 28346438679806 42519658019709 56692877359612 85039316039418 113385754719224 170078632078836 340157264157672