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144457472740 = 22573734979907
BaseRepresentation
bin1000011010001001010…
…1100001101011100100
3111210212111012221211011
42012202111201223210
54331322103111430
6150210212552004
713302535154440
oct2064225415344
9453774187734
10144457472740
115629a528409
1223bb6622604
13108121c8829
146dc5627820
153b5720e22a
hex21a2561ae4

144457472740 has 96 divisors (see below), whose sum is σ = 357092870400. Its totient is φ = 48050993664.

The previous prime is 144457472723. The next prime is 144457472741. The reversal of 144457472740 is 47274754441.

It is a super-2 number, since 2×1444574727402 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (144457472741) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1767867 + ... + 1847773.

It is an arithmetic number, because the mean of its divisors is an integer number (3719717400).

Almost surely, 2144457472740 is an apocalyptic number.

144457472740 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 144457472740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178546435200).

144457472740 is an abundant number, since it is smaller than the sum of its proper divisors (212635397660).

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

144457472740 is a wasteful number, since it uses less digits than its factorization.

144457472740 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80309 (or 80307 counting only the distinct ones).

The product of its (nonzero) digits is 3512320, while the sum is 49.

The spelling of 144457472740 in words is "one hundred forty-four billion, four hundred fifty-seven million, four hundred seventy-two thousand, seven hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 37 70 74 140 148 185 259 349 370 518 698 740 1036 1295 1396 1745 2443 2590 3490 4886 5180 6980 9772 12215 12913 24430 25826 48860 51652 64565 79907 90391 129130 159814 180782 258260 319628 361564 399535 451955 559349 799070 903910 1118698 1598140 1807820 2237396 2796745 2956559 5593490 5913118 11186980 11826236 14782795 20695913 27887543 29565590 41391826 55775086 59131180 82783652 103479565 111550172 139437715 195212801 206959130 278875430 390425602 413918260 557750860 780851204 976064005 1031839091 1952128010 2063678182 3904256020 4127356364 5159195455 7222873637 10318390910 14445747274 20636781820 28891494548 36114368185 72228736370 144457472740