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402155431000 = 23537115137511
BaseRepresentation
bin1011101101000100101…
…01001110010001011000
31102110000220101121110121
411312202111032101120
523042103242243000
6504425254323024
741024533522261
oct5664225162130
91373026347417
10402155431000
1114560a290634
1265b35059474
132bc000665bb
141567055b968
15a6dac5eb1a
hex5da254e458

402155431000 has 128 divisors (see below), whose sum is σ = 960643307520. Its totient is φ = 157542000000.

The previous prime is 402155430967. The next prime is 402155431057. The reversal of 402155431000 is 134551204.

It is a happy number.

It is a super-2 number, since 2×4021554310002 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

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, 10702245 + ... + 10739755.

It is an arithmetic number, because the mean of its divisors is an integer number (7505025840).

Almost surely, 2402155431000 is an apocalyptic number.

402155431000 is a gapful number since it is divisible by the number (40) 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 402155431000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (480321653760).

402155431000 is an abundant number, since it is smaller than the sum of its proper divisors (558487876520).

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

402155431000 is a wasteful number, since it uses less digits than its factorization.

402155431000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37754 (or 37740 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 25.

Adding to 402155431000 its reverse (134551204), we get a palindrome (402289982204).

The spelling of 402155431000 in words is "four hundred two billion, one hundred fifty-five million, four hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 71 100 125 142 151 200 250 284 302 355 500 568 604 710 755 1000 1208 1420 1510 1775 2840 3020 3550 3775 6040 7100 7550 8875 10721 14200 15100 17750 18875 21442 30200 35500 37511 37750 42884 53605 71000 75022 75500 85768 107210 150044 151000 187555 214420 268025 300088 375110 428840 536050 750220 937775 1072100 1340125 1500440 1875550 2144200 2663281 2680250 3751100 4688875 5326562 5360500 5664161 7502200 9377750 10653124 10721000 11328322 13316405 18755500 21306248 22656644 26632810 28320805 37511000 45313288 53265620 56641610 66582025 106531240 113283220 133164050 141604025 226566440 266328100 283208050 332910125 402155431 532656200 566416100 665820250 708020125 804310862 1132832200 1331640500 1416040250 1608621724 2010777155 2663281000 2832080500 3217243448 4021554310 5664161000 8043108620 10053885775 16086217240 20107771550 40215543100 50269428875 80431086200 100538857750 201077715500 402155431000