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40436383504 = 24116714392383
BaseRepresentation
bin100101101010001100…
…100011111100010000
310212101002012010010111
4211222030203330100
51130303203233004
630324244011104
72631023405626
oct455214437420
9125332163114
1040436383504
1116170314470
127a06090a94
133a755c255a
141d58523516
1510b9e85a04
hex96a323f10

40436383504 has 80 divisors (see below), whose sum is σ = 86840156160. Its totient is φ = 18085668480.

The previous prime is 40436383489. The next prime is 40436383517. The reversal of 40436383504 is 40538363404.

It is a super-2 number, since 2×404363835042 (a number of 22 digits) contains 22 as substring.

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, 16967497 + ... + 16969879.

It is an arithmetic number, because the mean of its divisors is an integer number (1085501952).

Almost surely, 240436383504 is an apocalyptic number.

40436383504 is a gapful number since it is divisible by the number (44) 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 40436383504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43420078080).

40436383504 is an abundant number, since it is smaller than the sum of its proper divisors (46403772656).

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

40436383504 is a wasteful number, since it uses less digits than its factorization.

40436383504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3908 (or 3902 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 40.

The spelling of 40436383504 in words is "forty billion, four hundred thirty-six million, three hundred eighty-three thousand, five hundred four".

Divisors: 1 2 4 8 11 16 22 44 67 88 134 176 268 536 737 1072 1439 1474 2383 2878 2948 4766 5756 5896 9532 11512 11792 15829 19064 23024 26213 31658 38128 52426 63316 96413 104852 126632 159661 192826 209704 253264 319322 385652 419408 638644 771304 1060543 1277288 1542608 1756271 2121086 2554576 3429137 3512542 4242172 6858274 7025084 8484344 13716548 14050168 16968688 27433096 28100336 37720507 54866192 75441014 150882028 229752179 301764056 459504358 603528112 919008716 1838017432 2527273969 3676034864 5054547938 10109095876 20218191752 40436383504