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1403229661408 = 253771157106321
BaseRepresentation
bin10100011010110111000…
…000010110100011100000
311222010222111011121001001
4110122313000112203200
5140442303243131113
62552345041321344
7203244224215351
oct24326700264340
94863874147031
101403229661408
114a111961a753
121a7b56936254
13a2429a5c523
144bcb9515d28
152677b96b7dd
hex146b70168e0

1403229661408 has 96 divisors (see below), whose sum is σ = 2895588658368. Its totient is φ = 668744294400.

The previous prime is 1403229661399. The next prime is 1403229661411. The reversal of 1403229661408 is 8041669223041.

It is a hoax number, since the sum of its digits (46) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 13144888 + ... + 13251208.

It is an arithmetic number, because the mean of its divisors is an integer number (30162381858).

Almost surely, 21403229661408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1403229661408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1447794329184).

1403229661408 is an abundant number, since it is smaller than the sum of its proper divisors (1492358996960).

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

1403229661408 is a wasteful number, since it uses less digits than its factorization.

1403229661408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106596 (or 106588 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 1403229661408 in words is "one trillion, four hundred three billion, two hundred twenty-nine million, six hundred sixty-one thousand, four hundred eight".

Divisors: 1 2 4 8 16 32 37 71 74 142 148 157 284 296 314 568 592 628 1136 1184 1256 2272 2512 2627 5024 5254 5809 10508 11147 11618 21016 22294 23236 42032 44588 46472 84064 89176 92944 106321 178352 185888 212642 356704 412439 425284 824878 850568 1649756 1701136 3299512 3402272 3933877 6599024 7548791 7867754 13198048 15097582 15735508 16692397 30195164 31471016 33384794 60390328 62942032 66769588 120780656 125884064 133539176 241561312 267078352 279305267 534156704 558610534 617618689 1117221068 1185160187 1235237378 2234442136 2370320374 2470474756 4468884272 4740640748 4940949512 8937768544 9481281496 9881899024 18962562992 19763798048 37925125984 43850926919 87701853838 175403707676 350807415352 701614830704 1403229661408