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102944297040 = 24351332994967
BaseRepresentation
bin101111111011111110…
…1010101000001010000
3100211201100212010111020
41133313331111001100
53141312220001130
6115143021315440
710303025041614
oct1376775250120
9324640763436
10102944297040
113a727410042
1217b4ba05b80
1399277bcb40
144da80c7344
152a27978e10
hex17f7f55050

102944297040 has 80 divisors (see below), whose sum is σ = 343675586688. Its totient is φ = 25340133888.

The previous prime is 102944297039. The next prime is 102944297041. The reversal of 102944297040 is 40792449201.

It is an interprime number because it is at equal distance from previous prime (102944297039) and next prime (102944297041).

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 102944296983 and 102944297001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102944297041) 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, 16494364 + ... + 16500603.

Almost surely, 2102944297040 is an apocalyptic number.

102944297040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

102944297040 is an abundant number, since it is smaller than the sum of its proper divisors (240731289648).

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

102944297040 is a wasteful number, since it uses less digits than its factorization.

102944297040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32994996 (or 32994990 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 102944297040 in words is "one hundred two billion, nine hundred forty-four million, two hundred ninety-seven thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 32994967 65989934 98984901 131979868 164974835 197969802 263959736 329949670 395939604 428934571 494924505 527919472 659899340 791879208 857869142 989849010 1286803713 1319798680 1583758416 1715738284 1979698020 2144672855 2573607426 2639597360 3431476568 3959396040 4289345710 5147214852 6434018565 6862953136 7918792080 8578691420 10294429704 12868037130 17157382840 20588859408 25736074260 34314765680 51472148520 102944297040