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400333740340 = 22519372769547
BaseRepresentation
bin1011101001101011100…
…00000001100100110100
31102021022221120010200011
411310311300001210310
523024340414142330
6503524421230004
740631433434632
oct5646560014464
91367287503604
10400333740340
11144864a61466
1265706b62304
132b99c820731
141553a63a352
15a630d6e82a
hex5d35c01934

400333740340 has 72 divisors (see below), whose sum is σ = 909513390240. Its totient is φ = 147605079168.

The previous prime is 400333740311. The next prime is 400333740343. The reversal of 400333740340 is 43047333004.

It is a happy number.

It is a super-2 number, since 2×4003337403402 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (400333740343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135447 + ... + 904993.

It is an arithmetic number, because the mean of its divisors is an integer number (12632130420).

Almost surely, 2400333740340 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 400333740340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (454756695120).

400333740340 is an abundant number, since it is smaller than the sum of its proper divisors (509179649900).

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

400333740340 is a wasteful number, since it uses less digits than its factorization.

400333740340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769649 (or 769610 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 31.

The spelling of 400333740340 in words is "four hundred billion, three hundred thirty-three million, seven hundred forty thousand, three hundred forty".

Divisors: 1 2 4 5 10 19 20 37 38 74 76 95 148 185 190 370 380 703 740 1369 1406 2738 2812 3515 5476 6845 7030 13690 14060 26011 27380 52022 104044 130055 260110 520220 769547 1539094 3078188 3847735 7695470 14621393 15390940 28473239 29242786 56946478 58485572 73106965 113892956 142366195 146213930 284732390 292427860 540991541 569464780 1053509843 1081983082 2107019686 2163966164 2704957705 4214039372 5267549215 5409915410 10535098430 10819830820 20016687017 21070196860 40033374034 80066748068 100083435085 200166870170 400333740340