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34441141530 = 23529151409641
BaseRepresentation
bin100000000100110110…
…100001110100011010
310021220021002021020110
4200010312201310122
51031013413012110
623453321105150
72326324605225
oct400466416432
9107807067213
1034441141530
1113674143434
1268123281b6
13332b5013b3
14194a1d25bc
15d6898ca20
hex804da1d1a

34441141530 has 128 divisors (see below), whose sum is σ = 86420390400. Its totient is φ = 8773632000.

The previous prime is 34441141529. The next prime is 34441141573. The reversal of 34441141530 is 3514114443.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 53730010 + ... + 53730650.

It is an arithmetic number, because the mean of its divisors is an integer number (675159300).

Almost surely, 234441141530 is an apocalyptic number.

34441141530 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 34441141530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43210195200).

34441141530 is an abundant number, since it is smaller than the sum of its proper divisors (51979248870).

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

34441141530 is a wasteful number, since it uses less digits than its factorization.

34441141530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240.

The product of its (nonzero) digits is 11520, while the sum is 30.

Adding to 34441141530 its reverse (3514114443), we get a palindrome (37955255973).

The spelling of 34441141530 in words is "thirty-four billion, four hundred forty-one million, one hundred forty-one thousand, five hundred thirty".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 151 174 290 302 409 435 453 641 755 818 870 906 1227 1282 1510 1923 2045 2265 2454 3205 3846 4090 4379 4530 6135 6410 8758 9615 11861 12270 13137 18589 19230 21895 23722 26274 35583 37178 43790 55767 59305 61759 65685 71166 92945 96791 111534 118610 123518 131370 177915 185277 185890 193582 262169 278835 290373 308795 355830 370554 483955 524338 557670 580746 617590 786507 926385 967910 1310845 1451865 1573014 1791011 1852770 2621690 2806939 2903730 3582022 3932535 5373033 5613878 7602901 7865070 8420817 8955055 10746066 14034695 15205802 16841634 17910110 22808703 26865165 28069390 38014505 39587519 42104085 45617406 53730330 76029010 79175038 84208170 114043515 118762557 197937595 228087030 237525114 395875190 593812785 1148038051 1187625570 2296076102 3444114153 5740190255 6888228306 11480380510 17220570765 34441141530