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1404542461146 = 2311372113272201
BaseRepresentation
bin10100011100000101010…
…000010010010011011010
311222021100222102201201120
4110130011100102103122
5141003000332224041
62553123215230110
7203321604636006
oct24340520222332
94867328381646
101404542461146
114a173266a610
121a8262518336
13a25a8a294c6
144bda1a09706
1526806d39366
hex147054124da

1404542461146 has 64 divisors (see below), whose sum is σ = 3148780473216. Its totient is φ = 413918208000.

The previous prime is 1404542461117. The next prime is 1404542461207. The reversal of 1404542461146 is 6411642454041.

It is a junction number, because it is equal to n+sod(n) for n = 1404542461098 and 1404542461107.

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, 5023846 + ... + 5296046.

It is an arithmetic number, because the mean of its divisors is an integer number (49199694894).

Almost surely, 21404542461146 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1404542461146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1574390236608).

1404542461146 is an abundant number, since it is smaller than the sum of its proper divisors (1744238012070).

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

1404542461146 is a wasteful number, since it uses less digits than its factorization.

1404542461146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274367.

The product of its (nonzero) digits is 368640, while the sum is 42.

The spelling of 1404542461146 in words is "one trillion, four hundred four billion, five hundred forty-two million, four hundred sixty-one thousand, one hundred forty-six".

Divisors: 1 2 3 6 11 22 33 37 66 74 111 222 407 814 1221 2113 2442 4226 6339 12678 23243 46486 69729 78181 139458 156362 234543 272201 469086 544402 816603 859991 1633206 1719982 2579973 2994211 5159946 5988422 8982633 10071437 17965266 20142874 30214311 60428622 110785807 221571614 332357421 575160713 664714842 1150321426 1725482139 3450964278 6326767843 12653535686 18980303529 21280946381 37960607058 42561892762 63842839143 127685678286 234090410191 468180820382 702271230573 1404542461146