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331020104000440 = 235103493911626707
BaseRepresentation
bin100101101000011111001111…
…1101101100110001110111000
31121102001012202012021210212011
41023100332133231212032320
5321341413133111003230
63132004311512255304
7126503261522125441
oct11320763755461670
91542035665253764
10331020104000440
1196522924039568
1231161ab70a1534
13112920a5bcbb3a
145ba565c2642c8
1528408d4d0ee2a
hex12d0f9fb663b8

331020104000440 has 64 divisors (see below), whose sum is σ = 752041943976960. Its totient is φ = 131119791242880.

The previous prime is 331020104000387. The next prime is 331020104000441. The reversal of 331020104000440 is 44000401020133.

It is a super-2 number, since 2×3310201040004402 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (331020104000441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 202677567 + ... + 204304273.

It is an arithmetic number, because the mean of its divisors is an integer number (11750655374640).

Almost surely, 2331020104000440 is an apocalyptic number.

It is an amenable number.

331020104000440 is an abundant number, since it is smaller than the sum of its proper divisors (421021839976520).

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

331020104000440 is a wasteful number, since it uses less digits than its factorization.

331020104000440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1676212 (or 1676208 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 331020104000440 its reverse (44000401020133), we get a palindrome (375020505020573).

The spelling of 331020104000440 in words is "three hundred thirty-one trillion, twenty billion, one hundred four million, four hundred forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 40 103 206 412 515 824 1030 2060 4120 49391 98782 197564 246955 395128 493910 987820 1626707 1975640 3253414 5087273 6506828 8133535 10174546 13013656 16267070 20349092 25436365 32534140 40698184 50872730 65068280 101745460 167550821 203490920 335101642 670203284 837754105 1340406568 1675508210 3351016420 6702032840 80344685437 160689370874 321378741748 401723427185 642757483496 803446854370 1606893708740 3213787417480 8275502600011 16551005200022 33102010400044 41377513000055 66204020800088 82755026000110 165510052000220 331020104000440