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141058865664 = 293329351859
BaseRepresentation
bin1000001101011111000…
…0110111101000000000
3111111002122010211101000
42003113300313220000
54302342032200124
6144445045012000
713122366401133
oct2032760675000
9444078124330
10141058865664
1154906063632
12234083b4000
13103c006ca22
146b8210021a
153a08b7e6c9
hex20d7c37a00

141058865664 has 160 divisors (see below), whose sum is σ = 431943336000. Its totient is φ = 45398126592.

The previous prime is 141058865663. The next prime is 141058865683. The reversal of 141058865664 is 466568850141.

It is a happy number.

141058865664 is a `hidden beast` number, since 1 + 4 + 1 + 0 + 588 + 6 + 56 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 141058865664.

It is not an unprimeable number, because it can be changed into a prime (141058865663) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 224967 + ... + 576825.

It is an arithmetic number, because the mean of its divisors is an integer number (2699645850).

Almost surely, 2141058865664 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 141058865664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215971668000).

141058865664 is an abundant number, since it is smaller than the sum of its proper divisors (290884470336).

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

141058865664 is an equidigital number, since it uses as much as digits as its factorization.

141058865664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351915 (or 351893 counting only the distinct ones).

The product of its (nonzero) digits is 5529600, while the sum is 54.

The spelling of 141058865664 in words is "one hundred forty-one billion, fifty-eight million, eight hundred sixty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 29 32 36 48 54 58 64 72 87 96 108 116 128 144 174 192 216 232 256 261 288 348 384 432 464 512 522 576 696 768 783 864 928 1044 1152 1392 1536 1566 1728 1856 2088 2304 2784 3132 3456 3712 4176 4608 5568 6264 6912 7424 8352 11136 12528 13824 14848 16704 22272 25056 33408 44544 50112 66816 100224 133632 200448 351859 400896 703718 1055577 1407436 2111154 2814872 3166731 4222308 5629744 6333462 8444616 9500193 10203911 11259488 12666924 16889232 19000386 20407822 22518976 25333848 30611733 33778464 38000772 40815644 45037952 50667696 61223466 67556928 76001544 81631288 90075904 91835199 101335392 122446932 135113856 152003088 163262576 180151808 183670398 202670784 244893864 270227712 275505597 304006176 326525152 367340796 405341568 489787728 540455424 551011194 608012352 653050304 734681592 810683136 979575456 1102022388 1216024704 1306100608 1469363184 1621366272 1959150912 2204044776 2432049408 2612201216 2938726368 3918301824 4408089552 4864098816 5224402432 5877452736 7836603648 8816179104 11754905472 15673207296 17632358208 23509810944 35264716416 47019621888 70529432832 141058865664