Search a number
-
+
4315013315040 = 25359419553253
BaseRepresentation
bin111110110010101010110…
…101011111100111100000
3120021111210200211011011110
4332302222311133213200
51031144121402040130
613102142330343320
7623515024002321
oct76625265374740
916244720734143
104315013315040
111413a9458474a
1259834128ab40
13253b9a155abc
1410cbc2370448
157739b70dab0
hex3ecaad5f9e0

4315013315040 has 96 divisors (see below), whose sum is σ = 13606737885216. Its totient is φ = 1149447280640.

The previous prime is 4315013315021. The next prime is 4315013315057. The reversal of 4315013315040 is 405133105134.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 4315013314989 and 4315013315007.

It is a congruent number.

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, 4324947 + ... + 5228306.

It is an arithmetic number, because the mean of its divisors is an integer number (141736852971).

Almost surely, 24315013315040 is an apocalyptic number.

4315013315040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4315013315040 is an abundant number, since it is smaller than the sum of its proper divisors (9291724570176).

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

4315013315040 is a wasteful number, since it uses less digits than its factorization.

4315013315040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9554212 (or 9554204 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 4315013315040 in words is "four trillion, three hundred fifteen billion, thirteen million, three hundred fifteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 941 1882 2823 3764 4705 5646 7528 9410 11292 14115 15056 18820 22584 28230 30112 37640 45168 56460 75280 90336 112920 150560 225840 451680 9553253 19106506 28659759 38213012 47766265 57319518 76426024 95532530 114639036 143298795 152852048 191065060 229278072 286597590 305704096 382130120 458556144 573195180 764260240 917112288 1146390360 1528520480 2292780720 4585561440 8989611073 17979222146 26968833219 35958444292 44948055365 53937666438 71916888584 89896110730 107875332876 134844166095 143833777168 179792221460 215750665752 269688332190 287667554336 359584442920 431501331504 539376664380 719168885840 863002663008 1078753328760 1438337771680 2157506657520 4315013315040