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11454111044012 = 22713613279718353
BaseRepresentation
bin1010011010101101111000…
…1110000101000110101100
31111120000001200200220010102
42212223132032011012230
53000131004411402022
640205540155130232
72261350356314210
oct246533616050654
944500050626112
1011454111044012
11371673009259a
12134ba72743978
1365116c433120
142b854c046940
1514ce33804a92
hexa6ade3851ac

11454111044012 has 96 divisors (see below), whose sum is σ = 24720819940992. Its totient is φ = 4522040856576.

The previous prime is 11454111043987. The next prime is 11454111044041. The reversal of 11454111044012 is 21044011145411.

11454111044012 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-4 number, since 4×114541110440124 (a number of 53 digits) contains 4444 as substring. Note that it is a super-d number also for d = 3, 2.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 624091028 + ... + 624109380.

It is an arithmetic number, because the mean of its divisors is an integer number (257508541052).

Almost surely, 211454111044012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11454111044012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12360409970496).

11454111044012 is an abundant number, since it is smaller than the sum of its proper divisors (13266708896980).

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

11454111044012 is a wasteful number, since it uses less digits than its factorization.

11454111044012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21787 (or 21785 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

Adding to 11454111044012 its reverse (21044011145411), we get a palindrome (32498122189423).

The spelling of 11454111044012 in words is "eleven trillion, four hundred fifty-four billion, one hundred eleven million, forty-four thousand, twelve".

Divisors: 1 2 4 7 13 14 26 28 52 91 182 364 613 1226 2452 2797 4291 5594 7969 8582 11188 15938 17164 18353 19579 31876 36361 36706 39158 55783 72722 73412 78316 111566 128471 145444 223132 238589 254527 256942 477178 509054 513884 954356 1018108 1670123 1714561 3340246 3429122 6680492 6858244 11250389 12001927 22289293 22500778 24003854 44578586 45001556 48007708 51333341 78752723 89157172 102666682 146255057 156025051 157505446 205333364 292510114 312050102 315010892 359333387 585020228 624100204 667333433 718666774 1023785399 1334666866 1437333548 2047570798 2669333732 4095141596 4671334031 9342668062 18685336124 31467338033 62934676066 125869352132 220271366231 409075394429 440542732462 818150788858 881085464924 1636301577716 2863527761003 5727055522006 11454111044012