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147014045200 = 24521134796289
BaseRepresentation
bin1000100011101010111…
…0000100111000010000
3112001110122212021221001
42020322232010320100
54402041043421300
6151312021111344
713423100523451
oct2107256047020
9461418767831
10147014045200
1157391661110
12245aa858554
1310b2ba74ab9
147188da3128
153c568b216a
hex223ab84e10

147014045200 has 120 divisors (see below), whose sum is σ = 386424865440. Its totient is φ = 53305036800.

The previous prime is 147014045197. The next prime is 147014045203. The reversal of 147014045200 is 2540410741.

It is an interprime number because it is at equal distance from previous prime (147014045197) and next prime (147014045203).

It is a super-2 number, since 2×1470140452002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (147014045203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1478656 + ... + 1574944.

It is an arithmetic number, because the mean of its divisors is an integer number (3220207212).

Almost surely, 2147014045200 is an apocalyptic number.

147014045200 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 147014045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193212432720).

147014045200 is an abundant number, since it is smaller than the sum of its proper divisors (239410820240).

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

147014045200 is a wasteful number, since it uses less digits than its factorization.

147014045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96665 (or 96654 counting only the distinct ones).

The product of its (nonzero) digits is 4480, while the sum is 28.

Adding to 147014045200 its reverse (2540410741), we get a palindrome (149554455941).

The spelling of 147014045200 in words is "one hundred forty-seven billion, fourteen million, forty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 176 200 220 275 347 400 440 550 694 880 1100 1388 1735 2200 2776 3470 3817 4400 5552 6940 7634 8675 13880 15268 17350 19085 27760 30536 34700 38170 61072 69400 76340 95425 96289 138800 152680 190850 192578 305360 381700 385156 481445 763400 770312 962890 1059179 1526800 1540624 1925780 2118358 2407225 3851560 4236716 4814450 5295895 7703120 8473432 9628900 10591790 16946864 19257800 21183580 26479475 33412283 38515600 42367160 52958950 66824566 84734320 105917900 133649132 167061415 211835800 267298264 334122830 367535113 423671600 534596528 668245660 735070226 835307075 1336491320 1470140452 1670614150 1837675565 2672982640 2940280904 3341228300 3675351130 5880561808 6682456600 7350702260 9188377825 13364913200 14701404520 18376755650 29402809040 36753511300 73507022600 147014045200