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10542412023444 = 2233717820293497
BaseRepresentation
bin1001100101101001100010…
…1110010100011010010100
31101022211210211010222201000
42121122120232110122110
52340211324434222234
634231041153103300
72135443540436040
oct231323056243224
941284724128630
1010542412023444
1133a5014824464
121223234557b30
135b61b6c94052
14286380dcd020
151343741ab899
hex99698b94694

10542412023444 has 96 divisors (see below), whose sum is σ = 33074233839360. Its totient is φ = 2834934322176.

The previous prime is 10542412023401. The next prime is 10542412023467. The reversal of 10542412023444 is 44432021424501.

10542412023444 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 2 + 4 + 1 + 202 + 3 + 444 = 666.

It is a super-2 number, since 2×105424120234442 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10542412023399 and 10542412023408.

It is a congruent number.

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, 410133897 + ... + 410159600.

It is an arithmetic number, because the mean of its divisors is an integer number (344523269160).

Almost surely, 210542412023444 is an apocalyptic number.

10542412023444 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10542412023444 is an abundant number, since it is smaller than the sum of its proper divisors (22531821815916).

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

10542412023444 is a wasteful number, since it uses less digits than its factorization.

10542412023444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820293534 (or 820293526 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 36.

Adding to 10542412023444 its reverse (44432021424501), we get a palindrome (54974433447945).

The spelling of 10542412023444 in words is "ten trillion, five hundred forty-two billion, four hundred twelve million, twenty-three thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 27 28 34 36 42 51 54 63 68 84 102 108 119 126 153 189 204 238 252 306 357 378 459 476 612 714 756 918 1071 1428 1836 2142 3213 4284 6426 12852 820293497 1640586994 2460880491 3281173988 4921760982 5742054479 7382641473 9843521964 11484108958 13944989449 14765282946 17226163437 22147924419 22968217916 27889978898 29530565892 34452326874 41834968347 44295848838 51678490311 55779957796 68904653748 83669936694 88591697676 97614926143 103356980622 125504905041 155035470933 167339873388 195229852286 206713961244 251009810082 292844778429 310070941866 376514715123 390459704572 502019620164 585689556858 620141883732 753029430246 878534335287 1171379113716 1506058860492 1757068670574 2635603005861 3514137341148 5271206011722 10542412023444