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401004123432 = 2331116785310663
BaseRepresentation
bin1011101010111011011…
…01010101010100101000
31102100001200000010101120
411311131231111110220
523032224023422212
6504115130015240
740654153544403
oct5653555252450
91370050003346
10401004123432
11145079412180
1265873577520
132ba78690313
14155a16a4d3a
15a66eb4188c
hex5d5db55528

401004123432 has 128 divisors (see below), whose sum is σ = 1101589493760. Its totient is φ = 120635838720.

The previous prime is 401004123391. The next prime is 401004123473. The reversal of 401004123432 is 234321400104.

It is an interprime number because it is at equal distance from previous prime (401004123391) and next prime (401004123473).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 37601733 + ... + 37612395.

It is an arithmetic number, because the mean of its divisors is an integer number (8606167920).

Almost surely, 2401004123432 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 401004123432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (550794746880).

401004123432 is an abundant number, since it is smaller than the sum of its proper divisors (700585370328).

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

401004123432 is a wasteful number, since it uses less digits than its factorization.

401004123432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11703 (or 11699 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 401004123432 its reverse (234321400104), we get a palindrome (635325523536).

The spelling of 401004123432 in words is "four hundred one billion, four million, one hundred twenty-three thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 167 264 334 501 668 853 1002 1336 1706 1837 2004 2559 3412 3674 4008 5118 5511 6824 7348 9383 10236 10663 11022 14696 18766 20472 21326 22044 28149 31989 37532 42652 44088 56298 63978 75064 85304 112596 117293 127956 142451 225192 234586 255912 284902 351879 427353 469172 569804 703758 854706 938344 1139608 1407516 1566961 1709412 1780721 2815032 3133922 3418824 3561442 4700883 5342163 6267844 7122884 9095539 9401766 10684326 12535688 14245768 18191078 18803532 19587931 21368652 27286617 36382156 37607064 39175862 42737304 54573234 58763793 72764312 78351724 100050929 109146468 117527586 156703448 200101858 218292936 235055172 300152787 400203716 470110344 600305574 800407432 1200611148 1518955013 2401222296 3037910026 4556865039 6075820052 9113730078 12151640104 16708505143 18227460156 33417010286 36454920312 50125515429 66834020572 100251030858 133668041144 200502061716 401004123432