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40003533104 = 24232913727361
BaseRepresentation
bin100101010000011001…
…010111100100110000
310211020220201001000012
4211100121113210300
51123411401024404
630213302314052
72614216264253
oct452031274460
9124226631005
1040003533104
1115a68a51567
127905128928
133a06a1b762
141d16c4b09a
151091e83a6e
hex950657930

40003533104 has 80 divisors (see below), whose sum is σ = 84279337920. Its totient is φ = 18336890880.

The previous prime is 40003533091. The next prime is 40003533107. The reversal of 40003533104 is 40133530004.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a self number, because there is not a number n which added to its sum of digits gives 40003533104.

It is not an unprimeable number, because it can be changed into a prime (40003533107) 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, 1448384 + ... + 1475744.

It is an arithmetic number, because the mean of its divisors is an integer number (1053491724).

Almost surely, 240003533104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40003533104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42139668960).

40003533104 is an abundant number, since it is smaller than the sum of its proper divisors (44275804816).

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

40003533104 is a wasteful number, since it uses less digits than its factorization.

40003533104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27558 (or 27552 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 23.

The spelling of 40003533104 in words is "forty billion, three million, five hundred thirty-three thousand, one hundred four".

Divisors: 1 2 4 8 16 23 29 46 58 92 116 137 184 232 274 368 464 548 667 1096 1334 2192 2668 3151 3973 5336 6302 7946 10672 12604 15892 25208 27361 31784 50416 54722 63568 91379 109444 182758 218888 365516 437776 629303 731032 793469 1258606 1462064 1586938 2517212 3173876 3748457 5034424 6347752 7496914 10068848 12695504 14993828 18249787 29987656 36499574 59975312 72999148 86214511 108705253 145998296 172429022 217410506 291996592 344858044 434821012 689716088 869642024 1379432176 1739284048 2500220819 5000441638 10000883276 20001766552 40003533104