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10245431155140 = 2232583685771831
BaseRepresentation
bin1001010100010111001101…
…0010001101100111000100
31100021110020201020202001100
42111011303102031213010
52320330120333431030
633442404110300100
72105131222630536
oct225056322154704
940243221222040
1010245431155140
1132a0076875525
1211957721b7630
135941a87b7acc
14275c4ac33856
1512b791ac0360
hex9517348d9c4

10245431155140 has 72 divisors (see below), whose sum is σ = 31452239302848. Its totient is φ = 2699197922880.

The previous prime is 10245431155111. The next prime is 10245431155207. The reversal of 10245431155140 is 4155113454201.

10245431155140 is a `hidden beast` number, since 1 + 0 + 2 + 4 + 54 + 3 + 11 + 551 + 40 = 666.

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 = 10245431155095 and 10245431155104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 342870976 + ... + 342900855.

It is an arithmetic number, because the mean of its divisors is an integer number (436836656984).

Almost surely, 210245431155140 is an apocalyptic number.

10245431155140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10245431155140 is an abundant number, since it is smaller than the sum of its proper divisors (21206808147708).

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

10245431155140 is a wasteful number, since it uses less digits than its factorization.

10245431155140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685771929 (or 685771924 counting only the distinct ones).

The product of its (nonzero) digits is 48000, while the sum is 36.

The spelling of 10245431155140 in words is "ten trillion, two hundred forty-five billion, four hundred thirty-one million, one hundred fifty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 83 90 166 180 249 332 415 498 747 830 996 1245 1494 1660 2490 2988 3735 4980 7470 14940 685771831 1371543662 2057315493 2743087324 3428859155 4114630986 6171946479 6857718310 8229261972 10286577465 12343892958 13715436620 20573154930 24687785916 30859732395 41146309860 56919061973 61719464790 113838123946 123438929580 170757185919 227676247892 284595309865 341514371838 512271557757 569190619730 683028743676 853785929595 1024543115514 1138381239460 1707571859190 2049086231028 2561357788785 3415143718380 5122715577570 10245431155140