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31400103330144 = 25321941139959097
BaseRepresentation
bin1110010001110111010000…
…00000010100000101100000
311010011211011012010021021100
413020323220000110011200
513103424402423031034
6150441001444354400
76420403555341303
oct710735000240540
9133154135107240
1031400103330144
11a00678880485a
1236316730a5a00
13146a02b584603
147a7ab75b2b3a
15396bc704a099
hex1c8ee8014160

31400103330144 has 144 divisors (see below), whose sum is σ = 96286261060080. Its totient is φ = 9673972715520.

The previous prime is 31400103330139. The next prime is 31400103330157. The reversal of 31400103330144 is 44103330100413.

31400103330144 is a `hidden beast` number, since 314 + 0 + 0 + 1 + 0 + 3 + 3 + 301 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 69755197 + ... + 70203900.

It is an arithmetic number, because the mean of its divisors is an integer number (668654590695).

Almost surely, 231400103330144 is an apocalyptic number.

It is an amenable number.

31400103330144 is an abundant number, since it is smaller than the sum of its proper divisors (64886157729936).

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

31400103330144 is a wasteful number, since it uses less digits than its factorization.

31400103330144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139959173 (or 139959162 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 31400103330144 its reverse (44103330100413), we get a palindrome (75503433430557).

The spelling of 31400103330144 in words is "thirty-one trillion, four hundred billion, one hundred three million, three hundred thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 32 36 38 41 48 57 72 76 82 96 114 123 144 152 164 171 228 246 288 304 328 342 369 456 492 608 656 684 738 779 912 984 1312 1368 1476 1558 1824 1968 2337 2736 2952 3116 3936 4674 5472 5904 6232 7011 9348 11808 12464 14022 18696 24928 28044 37392 56088 74784 112176 224352 139959097 279918194 419877291 559836388 839754582 1119672776 1259631873 1679509164 2239345552 2519263746 2659222843 3359018328 4478691104 5038527492 5318445686 5738322977 6718036656 7977668529 10077054984 10636891372 11476645954 13436073312 15955337058 17214968931 20154109968 21273782744 22953291908 23933005587 31910674116 34429937862 40308219936 42547565488 45906583816 47866011174 51644906793 63821348232 68859875724 85095130976 91813167632 95732022348 103289813586 109028136563 127642696464 137719751448 183626335264 191464044696 206579627172 218056273126 255285392928 275439502896 327084409689 382928089392 413159254344 436112546252 550879005792 654168819378 765856178784 826318508688 872225092504 981253229067 1308337638756 1652637017376 1744450185008 1962506458134 2616675277512 3488900370016 3925012916268 5233350555024 7850025832536 10466701110048 15700051665072 31400103330144