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1014401131432 = 2313401152315971
BaseRepresentation
bin11101100001011110000…
…01001110001110101000
310120222100100200200221021
432300233001032032220
5113104443142201212
62054002012422224
7133200543230653
oct16605701161650
93528310620837
101014401131432
11361228aa2107
12144720a77974
1374871a23ca0
1437150cda89a
151b5c0bd3307
hexec2f04e3a8

1014401131432 has 64 divisors (see below), whose sum is σ = 2054894909760. Its totient is φ = 466681728000.

The previous prime is 1014401131363. The next prime is 1014401131439. The reversal of 1014401131432 is 2341311044101.

It is a junction number, because it is equal to n+sod(n) for n = 1014401131397 and 1014401131406.

It is not an unprimeable number, because it can be changed into a prime (1014401131439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63507207 + ... + 63523177.

It is an arithmetic number, because the mean of its divisors is an integer number (32107732965).

Almost surely, 21014401131432 is an apocalyptic number.

It is an amenable number.

1014401131432 is an abundant number, since it is smaller than the sum of its proper divisors (1040493778328).

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

1014401131432 is a wasteful number, since it uses less digits than its factorization.

1014401131432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17914 (or 17910 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

Adding to 1014401131432 its reverse (2341311044101), we get a palindrome (3355712175533).

The spelling of 1014401131432 in words is "one trillion, fourteen billion, four hundred one million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 13 26 52 104 401 802 1523 1604 3046 3208 5213 6092 10426 12184 15971 19799 20852 31942 39598 41704 63884 79196 127768 158392 207623 415246 610723 830492 1221446 1660984 2442892 4885784 6404371 7939399 12808742 15878798 24323833 25617484 31757596 48647666 51234968 63515192 83256823 97295332 166513646 194590664 316209829 333027292 632419658 666054584 1264839316 2529678632 9753857033 19507714066 39015428132 78030856264 126800141429 253600282858 507200565716 1014401131432