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1151503005040 = 245113363735023
BaseRepresentation
bin10000110000011010111…
…011010111010101110000
311002002020020001111122221
4100300122323113111300
5122331234232130130
62240554305410424
7146123214022123
oct20603273272560
94062206044587
101151503005040
11404393476a73
12167204039a14
138478104cc9b
143da396803ba
151ee4728587a
hex10c1aed7570

1151503005040 has 80 divisors (see below), whose sum is σ = 2701756683648. Its totient is φ = 456386531328.

The previous prime is 1151503004999. The next prime is 1151503005041. The reversal of 1151503005040 is 405003051511.

It is a happy number.

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 = 1151503004996 and 1151503005014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1151503005041) 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, 32860969 + ... + 32895991.

Almost surely, 21151503005040 is an apocalyptic number.

1151503005040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1151503005040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1350878341824).

1151503005040 is an abundant number, since it is smaller than the sum of its proper divisors (1550253678608).

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

1151503005040 is a wasteful number, since it uses less digits than its factorization.

1151503005040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38786 (or 38780 counting only the distinct ones).

The product of its (nonzero) digits is 1500, while the sum is 25.

Adding to 1151503005040 its reverse (405003051511), we get a palindrome (1556506056551).

The spelling of 1151503005040 in words is "one trillion, one hundred fifty-one billion, five hundred three million, five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 113 226 452 565 904 1130 1808 2260 3637 4520 7274 9040 14548 18185 29096 35023 36370 58192 70046 72740 140092 145480 175115 280184 290960 350230 410981 560368 700460 821962 1400920 1643924 2054905 2801840 3287848 3957599 4109810 6575696 7915198 8219620 15830396 16439240 19787995 31660792 32878480 39575990 63321584 79151980 127378651 158303960 254757302 316607920 509514604 636893255 1019029208 1273786510 2038058416 2547573020 5095146040 10190292080 14393787563 28787575126 57575150252 71968937815 115150300504 143937875630 230300601008 287875751260 575751502520 1151503005040