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1316346226440 = 233574733342103
BaseRepresentation
bin10011001001111100010…
…110010110011100001000
311122211201102122210102020
4103021330112112130020
5133031334113221230
62444415432004440
7164050200211260
oct23117426263410
94584642583366
101316346226440
11468294145043
12193149830720
139719181508b
14479d64c47a0
152439400b810
hex1327c596708

1316346226440 has 128 divisors (see below), whose sum is σ = 4609212456960. Its totient is φ = 294477444864.

The previous prime is 1316346226339. The next prime is 1316346226451. The reversal of 1316346226440 is 446226436131.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 1316346226392 and 1316346226401.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 16631572 + ... + 16710531.

It is an arithmetic number, because the mean of its divisors is an integer number (36009472320).

Almost surely, 21316346226440 is an apocalyptic number.

1316346226440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1316346226440 is an abundant number, since it is smaller than the sum of its proper divisors (3292866230520).

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

1316346226440 is a wasteful number, since it uses less digits than its factorization.

1316346226440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33342171 (or 33342167 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 42.

The spelling of 1316346226440 in words is "one trillion, three hundred sixteen billion, three hundred forty-six million, two hundred twenty-six thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 47 56 60 70 84 94 105 120 140 141 168 188 210 235 280 282 329 376 420 470 564 658 705 840 940 987 1128 1316 1410 1645 1880 1974 2632 2820 3290 3948 4935 5640 6580 7896 9870 13160 19740 39480 33342103 66684206 100026309 133368412 166710515 200052618 233394721 266736824 333421030 400105236 466789442 500131545 666842060 700184163 800210472 933578884 1000263090 1166973605 1333684120 1400368326 1567078841 1867157768 2000526180 2333947210 2800736652 3134157682 3500920815 4001052360 4667894420 4701236523 5601473304 6268315364 7001841630 7835394205 9335788840 9402473046 10969551887 12536630728 14003683260 15670788410 18804946092 21939103774 23506182615 28007366520 31341576820 32908655661 37609892184 43878207548 47012365230 54847759435 62683153640 65817311322 87756415096 94024730460 109695518870 131634622644 164543278305 188049460920 219391037740 263269245288 329086556610 438782075480 658173113220 1316346226440