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1412152516440 = 2332529135263651
BaseRepresentation
bin10100100011001010110…
…110010101111101011000
312000000000100002121001100
4110203022312111331120
5141114042021011230
63000422305151400
7204011312224101
oct24431266257530
95000010077040
101412152516440
114a498830a806
121a982702b560
13a321c53bac3
144c4c45a93a8
1526aeeeaa660
hex148cad95f58

1412152516440 has 96 divisors (see below), whose sum is σ = 4747754185200. Its totient is φ = 363588691200.

The previous prime is 1412152516427. The next prime is 1412152516441. The reversal of 1412152516440 is 446152512141.

1412152516440 is a `hidden beast` number, since 1 + 4 + 1 + 2 + 1 + 5 + 2 + 5 + 1 + 644 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1412152516395 and 1412152516404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1412152516441) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67621386 + ... + 67642265.

Almost surely, 21412152516440 is an apocalyptic number.

1412152516440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1412152516440 is an abundant number, since it is smaller than the sum of its proper divisors (3335601668760).

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

1412152516440 is a wasteful number, since it uses less digits than its factorization.

1412152516440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135263697 (or 135263690 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 1412152516440 in words is "one trillion, four hundred twelve billion, one hundred fifty-two million, five hundred sixteen thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 29 30 36 40 45 58 60 72 87 90 116 120 145 174 180 232 261 290 348 360 435 522 580 696 870 1044 1160 1305 1740 2088 2610 3480 5220 10440 135263651 270527302 405790953 541054604 676318255 811581906 1082109208 1217372859 1352636510 1623163812 2028954765 2434745718 2705273020 3246327624 3922645879 4057909530 4869491436 5410546040 6086864295 7845291758 8115819060 9738982872 11767937637 12173728590 15690583516 16231638120 19613229395 23535875274 24347457180 31381167032 35303812911 39226458790 47071750548 48694914360 58839688185 70607625822 78452917580 94143501096 117679376370 141215251644 156905835160 176519064555 235358752740 282430503288 353038129110 470717505480 706076258220 1412152516440