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332040312030 = 235747149225781
BaseRepresentation
bin1001101010011110010…
…01010001010011011110
31011202001110102112001110
410311033021101103132
520420004304441110
6412312012122450
732663161040640
oct4651711212336
91152043375043
10332040312030
111188aa110a19
1254427766426
1325407b1391b
14120dc53a890
1589854aea20
hex4d4f2514de

332040312030 has 128 divisors (see below), whose sum is σ = 936363110400. Its totient is φ = 73781291520.

The previous prime is 332040312013. The next prime is 332040312031. The reversal of 332040312030 is 30213040233.

It is a super-2 number, since 2×3320403120302 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 332040311988 and 332040312006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (332040312031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1357740 + ... + 1583520.

It is an arithmetic number, because the mean of its divisors is an integer number (7315336800).

Almost surely, 2332040312030 is an apocalyptic number.

332040312030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 332040312030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (468181555200).

332040312030 is an abundant number, since it is smaller than the sum of its proper divisors (604322798370).

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

332040312030 is a wasteful number, since it uses less digits than its factorization.

332040312030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 225994.

The product of its (nonzero) digits is 1296, while the sum is 21.

Adding to 332040312030 its reverse (30213040233), we get a palindrome (362253352263).

The spelling of 332040312030 in words is "three hundred thirty-two billion, forty million, three hundred twelve thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 47 70 94 105 141 149 210 235 282 298 329 447 470 658 705 745 894 987 1043 1410 1490 1645 1974 2086 2235 3129 3290 4470 4935 5215 6258 7003 9870 10430 14006 15645 21009 31290 35015 42018 49021 70030 98042 105045 147063 210090 225781 245105 294126 451562 490210 677343 735315 1128905 1354686 1470630 1580467 2257810 3160934 3386715 4741401 6773430 7902335 9482802 10611707 15804670 21223414 23707005 31835121 33641369 47414010 53058535 63670242 67282738 74281949 100924107 106117070 148563898 159175605 168206845 201848214 222845847 235489583 318351210 336413690 371409745 445691694 470979166 504620535 706468749 742819490 1009241070 1114229235 1177447915 1412937498 1581144343 2228458470 2354895830 3162288686 3532343745 4743433029 7064687490 7905721715 9486866058 11068010401 15811443430 22136020802 23717165145 33204031203 47434330290 55340052005 66408062406 110680104010 166020156015 332040312030