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1398278016 = 27321771399
BaseRepresentation
bin101001101011000…
…0000011110000000
310121110002212211200
41103112000132000
510330424344031
6350425541200
746436111202
oct12326003600
93543085750
101398278016
11658322a73
12330344800
131938c7a55
14d39c4772
1582b548e6
hex53580780

1398278016 has 96 divisors (see below), whose sum is σ = 4260438000. Its totient is φ = 438669312.

The previous prime is 1398277997. The next prime is 1398278017. The reversal of 1398278016 is 6108728931.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1398278017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16116 + ... + 55283.

Almost surely, 21398278016 is an apocalyptic number.

1398278016 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1398278016 is an abundant number, since it is smaller than the sum of its proper divisors (2862159984).

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

1398278016 is a wasteful number, since it uses less digits than its factorization.

1398278016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71436 (or 71421 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The square root of 1398278016 is about 37393.5558084545. Note that the first 3 decimals coincide. The cubic root of 1398278016 is about 1118.2300957001.

The spelling of 1398278016 in words is "one billion, three hundred ninety-eight million, two hundred seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 272 288 306 384 408 544 576 612 816 1088 1152 1224 1632 2176 2448 3264 4896 6528 9792 19584 71399 142798 214197 285596 428394 571192 642591 856788 1142384 1213783 1285182 1713576 2284768 2427566 2570364 3427152 3641349 4569536 4855132 5140728 6854304 7282698 9139072 9710264 10281456 10924047 13708608 14565396 19420528 20562912 21848094 27417216 29130792 38841056 41125824 43696188 58261584 77682112 82251648 87392376 116523168 155364224 174784752 233046336 349569504 466092672 699139008 1398278016