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1400133130040 = 2352329311692863
BaseRepresentation
bin10100010111111110011…
…100000001011100111000
311221211222200111111120002
4110113332130001130320
5140414433040130130
62551113504052132
7203104414145201
oct24277634013470
94854880444502
101400133130040
1149a87a717917
121a7431904048
13a205537a248
144baa41825a8
1526649baab45
hex145fe701738

1400133130040 has 128 divisors (see below), whose sum is σ = 3510322790400. Its totient is φ = 500545436160.

The previous prime is 1400133130021. The next prime is 1400133130057. The reversal of 1400133130040 is 400313310041.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1400133129994 and 1400133130021.

It is a congruent number.

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, 19352 + ... + 1673511.

It is an arithmetic number, because the mean of its divisors is an integer number (27424396800).

Almost surely, 21400133130040 is an apocalyptic number.

1400133130040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1400133130040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1755161395200).

1400133130040 is an abundant number, since it is smaller than the sum of its proper divisors (2110189660360).

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

1400133130040 is a wasteful number, since it uses less digits than its factorization.

1400133130040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1692957 (or 1692953 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 1400133130040 its reverse (400313310041), we get a palindrome (1800446440081).

The spelling of 1400133130040 in words is "one trillion, four hundred billion, one hundred thirty-three million, one hundred thirty thousand, forty".

Divisors: 1 2 4 5 8 10 20 23 29 31 40 46 58 62 92 115 116 124 145 155 184 230 232 248 290 310 460 580 620 667 713 899 920 1160 1240 1334 1426 1798 2668 2852 3335 3565 3596 4495 5336 5704 6670 7130 7192 8990 13340 14260 17980 20677 26680 28520 35960 41354 82708 103385 165416 206770 413540 827080 1692863 3385726 6771452 8464315 13542904 16928630 33857260 38935849 49093027 52478753 67714520 77871698 98186054 104957506 155743396 194679245 196372108 209915012 245465135 262393765 311486792 389358490 392744216 419830024 490930270 524787530 778716980 981860540 1049575060 1129139621 1207011319 1521883837 1557433960 1963721080 2099150120 2258279242 2414022638 3043767674 4516558484 4828045276 5645698105 6035056595 6087535348 7609419185 9033116968 9656090552 11291396210 12070113190 12175070696 15218838370 22582792420 24140226380 30437676740 35003328251 45165584840 48280452760 60875353480 70006656502 140013313004 175016641255 280026626008 350033282510 700066565020 1400133130040