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31400423302032 = 2433373319471247
BaseRepresentation
bin1110010001110111110110…
…00100111010001110010000
311010011211222111012112012000
413020323323010322032100
513103431031331131112
6150441053314434000
76420414522142041
oct710737304721620
9133154874175160
1031400423302032
11a00693238a434
123631742292900
13146a07c955aa5
147a7b07ca48c8
15396be51a17dc
hex1c8efb13a390

31400423302032 has 80 divisors (see below), whose sum is σ = 90154993639680. Its totient is φ = 10464003370368.

The previous prime is 31400423302021. The next prime is 31400423302099. The reversal of 31400423302032 is 23020332400413.

31400423302032 is a `hidden beast` number, since 3 + 1 + 4 + 0 + 0 + 423 + 30 + 203 + 2 = 666.

It is a super-3 number, since 3×314004233020323 (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 31400423301987 and 31400423302005.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8122968 + ... + 11348279.

It is an arithmetic number, because the mean of its divisors is an integer number (1126937420496).

Almost surely, 231400423302032 is an apocalyptic number.

It is an amenable number.

31400423302032 is an abundant number, since it is smaller than the sum of its proper divisors (58754570337648).

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

31400423302032 is a wasteful number, since it uses less digits than its factorization.

31400423302032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19474997 (or 19474985 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 27.

Adding to 31400423302032 its reverse (23020332400413), we get a palindrome (54420755702445).

The spelling of 31400423302032 in words is "thirty-one trillion, four hundred billion, four hundred twenty-three million, three hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 3733 7466 11199 14932 22398 29864 33597 44796 59728 67194 89592 100791 134388 179184 201582 268776 403164 537552 806328 1612656 19471247 38942494 58413741 77884988 116827482 155769976 175241223 233654964 311539952 350482446 467309928 525723669 700964892 934619856 1051447338 1401929784 2102894676 2803859568 4205789352 8411578704 72686165051 145372330102 218058495153 290744660204 436116990306 581489320408 654175485459 872233980612 1162978640816 1308350970918 1744467961224 1962526456377 2616701941836 3488935922448 3925052912754 5233403883672 7850105825508 10466807767344 15700211651016 31400423302032