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11432369040 = 2435152331277
BaseRepresentation
bin10101010010110110…
…00001101110010000
31002111202000112001120
422221123001232100
5141403141302130
65130231202240
7553206350661
oct125133015620
932452015046
1011432369040
114937302084
122270816380
131102690311
147a649d368
1546d9e8910
hex2a96c1b90

11432369040 has 80 divisors (see below), whose sum is σ = 35464747968. Its totient is φ = 3046532608.

The previous prime is 11432369017. The next prime is 11432369063. The reversal of 11432369040 is 4096323411.

It is an interprime number because it is at equal distance from previous prime (11432369017) and next prime (11432369063).

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 = 11432368992 and 11432369010.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 349882 + ... + 381158.

Almost surely, 211432369040 is an apocalyptic number.

11432369040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11432369040 is an abundant number, since it is smaller than the sum of its proper divisors (24032378928).

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

11432369040 is a wasteful number, since it uses less digits than its factorization.

11432369040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32816 (or 32810 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 11432369040 in words is "eleven billion, four hundred thirty-two million, three hundred sixty-nine thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 1523 3046 4569 6092 7615 9138 12184 15230 18276 22845 24368 30460 31277 36552 45690 60920 62554 73104 91380 93831 121840 125108 156385 182760 187662 250216 312770 365520 375324 469155 500432 625540 750648 938310 1251080 1501296 1876620 2502160 3753240 7506480 47634871 95269742 142904613 190539484 238174355 285809226 381078968 476348710 571618452 714523065 762157936 952697420 1143236904 1429046130 1905394840 2286473808 2858092260 3810789680 5716184520 11432369040