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141152661540 = 2232511121358771
BaseRepresentation
bin1000001101110101011…
…0101011000000100100
3111111100011122011010100
42003131112223000210
54303040040132130
6144502235224100
713124615553402
oct2033526530044
9444304564110
10141152661540
1154953aa7890
12234338a8030
1310406620647
146b90758472
153a1200ac60
hex20dd5ab024

141152661540 has 144 divisors (see below), whose sum is σ = 467480010816. Its totient is φ = 34190035200.

The previous prime is 141152661539. The next prime is 141152661547. The reversal of 141152661540 is 45166251141.

141152661540 is a `hidden beast` number, since 1 + 4 + 1 + 1 + 52 + 6 + 61 + 540 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 141152661495 and 141152661504.

It is not an unprimeable number, because it can be changed into a prime (141152661547) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2372355 + ... + 2431125.

It is an arithmetic number, because the mean of its divisors is an integer number (3246388964).

Almost surely, 2141152661540 is an apocalyptic number.

141152661540 is a gapful number since it is divisible by the number (10) 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 141152661540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233740005408).

141152661540 is an abundant number, since it is smaller than the sum of its proper divisors (326327349276).

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

141152661540 is a wasteful number, since it uses less digits than its factorization.

141152661540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60010 (or 60005 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The spelling of 141152661540 in words is "one hundred forty-one billion, one hundred fifty-two million, six hundred sixty-one thousand, five hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1213 1980 2426 3639 4852 6065 7278 10917 12130 13343 14556 18195 21834 24260 26686 36390 40029 43668 53372 54585 58771 66715 72780 80058 109170 117542 120087 133430 160116 176313 200145 218340 235084 240174 266860 293855 352626 400290 480348 528939 587710 600435 646481 705252 800580 881565 1057878 1175420 1200870 1292962 1763130 1939443 2115756 2401740 2585924 2644695 3232405 3526260 3878886 5289390 5818329 6464810 7757772 9697215 10578780 11636658 12929620 19394430 23273316 29091645 38788860 58183290 71289223 116366580 142578446 213867669 285156892 356446115 427735338 641603007 712892230 784181453 855470676 1069338345 1283206014 1425784460 1568362906 2138676690 2352544359 2566412028 3136725812 3208015035 3920907265 4277353380 4705088718 6416030070 7057633077 7841814530 9410177436 11762721795 12832060140 14115266154 15683629060 23525443590 28230532308 35288165385 47050887180 70576330770 141152661540