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401235875152 = 24724343327487
BaseRepresentation
bin1011101011010111000…
…01011001010101010000
31102100122211002022222121
411311223201121111100
523033212341001102
6504154125144024
740662666444400
oct5655341312520
91370584068877
10401235875152
11145188211722
12659190bb014
132bab46b3a08
14155c4390800
15a68516db37
hex5d6b859550

401235875152 has 120 divisors (see below), whose sum is σ = 927517468416. Its totient is φ = 167565210624.

The previous prime is 401235875147. The next prime is 401235875153. The reversal of 401235875152 is 251578532104.

It is a Harshad number since it is a multiple of its sum of digits (43).

It is a junction number, because it is equal to n+sod(n) for n = 401235875099 and 401235875108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (401235875153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14583553 + ... + 14611039.

Almost surely, 2401235875152 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 401235875152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (463758734208).

401235875152 is an abundant number, since it is smaller than the sum of its proper divisors (526281593264).

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

401235875152 is a wasteful number, since it uses less digits than its factorization.

401235875152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27985 (or 27972 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 43.

The spelling of 401235875152 in words is "four hundred one billion, two hundred thirty-five million, eight hundred seventy-five thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 86 98 112 172 196 301 344 392 433 602 688 784 866 1204 1732 2107 2408 3031 3464 4214 4816 6062 6928 8428 12124 16856 18619 21217 24248 27487 33712 37238 42434 48496 54974 74476 84868 109948 130333 148952 169736 192409 219896 260666 297904 339472 384818 439792 521332 769636 912331 1042664 1181941 1346863 1539272 1824662 2085328 2363882 2693726 3078544 3649324 4727764 5387452 7298648 8273587 9455528 10774904 11901871 14597296 16547174 18911056 21549808 23803742 33094348 47607484 57915109 66188696 83313097 95214968 115830218 132377392 166626194 190429936 231660436 333252388 463320872 511780453 583191679 666504776 926641744 1023560906 1166383358 1333009552 2047121812 2332766716 3582463171 4094243624 4665533432 7164926342 8188487248 9331066864 14329852684 25077242197 28659705368 50154484394 57319410736 100308968788 200617937576 401235875152