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141609630672 = 24332353268909
BaseRepresentation
bin1000001111100010010…
…1110111101111010000
3111112112000111120221000
42003320211313233100
54310004031140142
6145015441502000
713142135000046
oct2037045675720
9445460446830
10141609630672
1155068a43524
1223540941900
131047a1ba493
146bd530c396
153a3c1c414c
hex20f8977bd0

141609630672 has 160 divisors (see below), whose sum is σ = 432149126400. Its totient is φ = 44298828288.

The previous prime is 141609630667. The next prime is 141609630713. The reversal of 141609630672 is 276036906141.

141609630672 is a `hidden beast` number, since 1 + 4 + 1 + 6 + 0 + 9 + 630 + 6 + 7 + 2 = 666.

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, 392154 + ... + 661062.

It is an arithmetic number, because the mean of its divisors is an integer number (2700932040).

Almost surely, 2141609630672 is an apocalyptic number.

141609630672 is a gapful number since it is divisible by the number (12) 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 141609630672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216074563200).

141609630672 is an abundant number, since it is smaller than the sum of its proper divisors (290539495728).

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

141609630672 is a wasteful number, since it uses less digits than its factorization.

141609630672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 269002 (or 268990 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The spelling of 141609630672 in words is "one hundred forty-one billion, six hundred nine million, six hundred thirty thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 53 54 69 72 92 106 108 138 144 159 184 207 212 216 276 318 368 414 424 432 477 552 621 636 828 848 954 1104 1219 1242 1272 1431 1656 1908 2438 2484 2544 2862 3312 3657 3816 4876 4968 5724 7314 7632 9752 9936 10971 11448 14628 19504 21942 22896 29256 32913 43884 58512 65826 87768 131652 175536 263304 268909 526608 537818 806727 1075636 1613454 2151272 2420181 3226908 4302544 4840362 6184907 6453816 7260543 9680724 12369814 12907632 14252177 14521086 18554721 19361448 24739628 28504354 29042172 37109442 38722896 42756531 49479256 55664163 57008708 58084344 74218884 85513062 98958512 111328326 114017416 116168688 128269593 148437768 166992489 171026124 222656652 228034832 256539186 296875536 327800071 333984978 342052248 384808779 445313304 513078372 655600142 667969956 684104496 769617558 890626608 983400213 1026156744 1311200284 1335939912 1539235116 1966800426 2052313488 2622400568 2671879824 2950200639 3078470232 3933600852 5244801136 5900401278 6156940464 7867201704 8850601917 11800802556 15734403408 17701203834 23601605112 35402407668 47203210224 70804815336 141609630672