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145420958281 = 4127121312
BaseRepresentation
bin1000011101101111000…
…0111011101001001001
3111220100122012002111211
42013123300323221021
54340310231131111
6150445551453121
713335444515254
oct2073360735111
9456318162454
10145420958281
1156744381355
12242252271a1
13109369bc811
14707758c09b
153bb1acb521
hex21dbc3ba49

145420958281 has 27 divisors (see below), whose sum is σ = 152346124807. Its totient is φ = 138808124000.

The previous prime is 145420958273. The next prime is 145420958299. The reversal of 145420958281 is 182859024541.

It is a happy number.

The square root of 145420958281 is 381341.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 7007196681 + 138413761600 = 83709^2 + 372040^2 .

It is not a de Polignac number, because 145420958281 - 23 = 145420958273 is a prime.

It is a super-2 number, since 2×1454209582812 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145420958251) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1110083586 + ... + 1110083716.

Almost surely, 2145420958281 is an apocalyptic number.

145420958281 is the 381341-st square number.

145420958281 is the 190671-st centered octagonal number.

It is an amenable number.

145420958281 is a deficient number, since it is larger than the sum of its proper divisors (6925166526).

145420958281 is an frugal number, since it uses more digits than its factorization.

145420958281 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 49.

Multiplying 145420958281 by its sum of digits (49), we get a square (7125626955769 = 26693872).

The spelling of 145420958281 in words is "one hundred forty-five billion, four hundred twenty million, nine hundred fifty-eight thousand, two hundred eighty-one".

Divisors: 1 41 71 131 1681 2911 5041 5371 9301 17161 119351 206681 220211 381341 660371 703601 1218431 8473921 15634981 27075211 28847641 49955671 86508601 1110083651 2048182511 3546852641 145420958281