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1225962118444 = 2271741107587087
BaseRepresentation
bin10001110101110001000…
…010010101110100101100
311100012102102000101011211
4101311301002111310230
5130041232300242234
62335111010524204
7154400325032320
oct21656102256454
94305372011154
101225962118444
11432a22722a28
12179724296664
138b7b9256b7b
14434a059b980
1521d540aa164
hex11d71095d2c

1225962118444 has 96 divisors (see below), whose sum is σ = 2684335417344. Its totient is φ = 477934970880.

The previous prime is 1225962118421. The next prime is 1225962118481. The reversal of 1225962118444 is 4448112695221.

It is a super-2 number, since 2×12259621184442 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1794669 + ... + 2381755.

It is an arithmetic number, because the mean of its divisors is an integer number (27961827264).

Almost surely, 21225962118444 is an apocalyptic number.

1225962118444 is a gapful number since it is divisible by the number (14) 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 1225962118444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342167708672).

1225962118444 is an abundant number, since it is smaller than the sum of its proper divisors (1458373298900).

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

1225962118444 is a wasteful number, since it uses less digits than its factorization.

1225962118444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587263 (or 587261 counting only the distinct ones).

The product of its digits is 1105920, while the sum is 49.

The spelling of 1225962118444 in words is "one trillion, two hundred twenty-five billion, nine hundred sixty-two million, one hundred eighteen thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 17 28 34 41 68 82 107 119 164 214 238 287 428 476 574 697 749 1148 1394 1498 1819 2788 2996 3638 4387 4879 7276 8774 9758 12733 17548 19516 25466 30709 50932 61418 74579 122836 149158 298316 522053 587087 1044106 1174174 2088212 2348348 4109609 8219218 9980479 16438436 19960958 24070567 39921916 48141134 62818309 69863353 96282268 125636618 139726706 168493969 251273236 279453412 336987938 409199639 439728163 673975876 818399278 879456326 1067911253 1636798556 1758912652 2135822506 2575550669 2864397473 4271645012 5151101338 5728794946 7475378771 10302202676 11457589892 14950757542 18028854683 29901515084 36057709366 43784361373 72115418732 87568722746 175137445492 306490529611 612981059222 1225962118444