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145034500401 = 33729315031697
BaseRepresentation
bin1000011100010010111…
…0101101100100110001
3111212100200222222222000
42013010232231210301
54334012313003101
6150343344404213
713323042625020
oct2070456554461
9455320888860
10145034500401
115656621587a
1224137916669
13108a491010b
14703c1108b7
153b8cbe0486
hex21c4bad931

145034500401 has 128 divisors (see below), whose sum is σ = 262899302400. Its totient is φ = 77238282240.

The previous prime is 145034500397. The next prime is 145034500427. The reversal of 145034500401 is 104005430541.

It is a happy number.

It is not a de Polignac number, because 145034500401 - 22 = 145034500397 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (145034520401) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 85464385 + ... + 85466081.

It is an arithmetic number, because the mean of its divisors is an integer number (2053900800).

Almost surely, 2145034500401 is an apocalyptic number.

It is an amenable number.

145034500401 is a deficient number, since it is larger than the sum of its proper divisors (117864801999).

145034500401 is a wasteful number, since it uses less digits than its factorization.

145034500401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2276 (or 2270 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 145034500401 its reverse (104005430541), we get a palindrome (249039930942).

The spelling of 145034500401 in words is "one hundred forty-five billion, thirty-four million, five hundred thousand, four hundred one".

Divisors: 1 3 7 9 21 27 29 31 63 87 93 189 203 217 261 279 503 609 651 783 837 899 1509 1697 1827 1953 2697 3521 4527 5091 5481 5859 6293 8091 10563 11879 13581 14587 15273 15593 18879 24273 31689 35637 43761 45819 46779 49213 52607 56637 95067 102109 106911 109151 131283 140337 147639 157821 169911 306327 320733 327453 344491 368249 393849 421011 442917 452197 473463 853591 918981 982359 1033473 1104747 1328751 1356591 1420389 1525603 2560773 2756943 2947077 3100419 3165379 3314241 4069773 4576809 5975137 7682319 9301257 9496137 9942723 10679221 12209319 13730427 17925411 23046957 24754139 26461321 28488411 32037663 41191281 53776233 74262417 79383963 85465233 96112989 161328699 173278973 185229247 222787251 238151889 288338967 519836919 555687741 668361753 714455667 767378309 1559510757 1667063223 2302134927 4678532271 5001189669 5371648163 6906404781 16114944489 20719214343 48344833467 145034500401