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1220040024140 = 2257292351127819
BaseRepresentation
bin10001110000010000000…
…011010110000001001100
311022122010200112211000202
4101300100003112001030
5124442120221233030
62332251215513032
7154100505045260
oct21602003260114
94278120484022
101220040024140
11430463872913
12178550b28778
138b084367162
144309bc6c0a0
1521b09210745
hex11c100d604c

1220040024140 has 96 divisors (see below), whose sum is σ = 3030377011200. Its totient is φ = 403700371200.

The previous prime is 1220040024107. The next prime is 1220040024157. The reversal of 1220040024140 is 414200400221.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9481151 + ... + 9608969.

It is an arithmetic number, because the mean of its divisors is an integer number (31566427200).

Almost surely, 21220040024140 is an apocalyptic number.

1220040024140 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 1220040024140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1515188505600).

1220040024140 is an abundant number, since it is smaller than the sum of its proper divisors (1810336987060).

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

1220040024140 is a wasteful number, since it uses less digits than its factorization.

1220040024140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130215 (or 130213 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 1220040024140 its reverse (414200400221), we get a palindrome (1634240424361).

The spelling of 1220040024140 in words is "one trillion, two hundred twenty billion, forty million, twenty-four thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 58 70 116 140 145 203 290 406 580 812 1015 2030 2351 4060 4702 9404 11755 16457 23510 32914 47020 65828 68179 82285 127819 136358 164570 255638 272716 329140 340895 477253 511276 639095 681790 894733 954506 1278190 1363580 1789466 1909012 2386265 2556380 3578932 3706751 4473665 4772530 7413502 8947330 9545060 14827004 17894660 18533755 25947257 37067510 51894514 74135020 103789028 129736285 259472570 300502469 518945140 601004938 1202009876 1502512345 2103517283 3005024690 4207034566 6010049380 8414069132 8714571601 10517586415 17429143202 21035172830 34858286404 42070345660 43572858005 61002001207 87145716010 122004002414 174291432020 244008004828 305010006035 610020012070 1220040024140