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21000153451440 = 2435320572729533
BaseRepresentation
bin1001100011001011110101…
…01011111100101110110000
32202100121001210122001221110
410301211322223330232300
510223031303240421230
6112355200505353320
74265132244054132
oct461457253745660
982317053561843
1021000153451440
11676712a1722a9
122431b78a98840
13b943c92b9437
145285acc0b052
152663ded0e4b0
hex13197aafcbb0

21000153451440 has 80 divisors (see below), whose sum is σ = 65102530323168. Its totient is φ = 5599864178688.

The previous prime is 21000153451331. The next prime is 21000153451523. The reversal of 21000153451440 is 4415435100012.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 21000153451398 and 21000153451407.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6328914 + ... + 9058446.

Almost surely, 221000153451440 is an apocalyptic number.

21000153451440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21000153451440 is an abundant number, since it is smaller than the sum of its proper divisors (44102376871728).

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

21000153451440 is a wasteful number, since it uses less digits than its factorization.

21000153451440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761606 (or 2761600 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

Adding to 21000153451440 its reverse (4415435100012), we get a palindrome (25415588551452).

The spelling of 21000153451440 in words is "twenty-one trillion, one hundred fifty-three million, four hundred fifty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 32057 64114 96171 128228 160285 192342 256456 320570 384684 480855 512912 641140 769368 961710 1282280 1538736 1923420 2564560 2729533 3846840 5459066 7693680 8188599 10918132 13647665 16377198 21836264 27295330 32754396 40942995 43672528 54590660 65508792 81885990 109181320 131017584 163771980 218362640 327543960 655087920 87500639381 175001278762 262501918143 350002557524 437503196905 525003836286 700005115048 875006393810 1050007672572 1312509590715 1400010230096 1750012787620 2100015345144 2625019181430 3500025575240 4200030690288 5250038362860 7000051150480 10500076725720 21000153451440