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145401255440 = 24572145925423
BaseRepresentation
bin1000011101101010010…
…1110001011000010000
3111220022021010002021222
42013122211301120100
54340240210133230
6150444005304212
713335115164500
oct2073245613020
9456267102258
10145401255440
1156734244311
122421a705068
13109328b172c
147074adda00
153baeed86e5
hex21da971610

145401255440 has 120 divisors (see below), whose sum is σ = 393536062080. Its totient is φ = 49815730944.

The previous prime is 145401255427. The next prime is 145401255443. The reversal of 145401255440 is 44552104541.

It is a super-2 number, since 2×1454012554402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 145401255440.

It is not an unprimeable number, because it can be changed into a prime (145401255443) 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, 5706569 + ... + 5731991.

It is an arithmetic number, because the mean of its divisors is an integer number (3279467184).

Almost surely, 2145401255440 is an apocalyptic number.

145401255440 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 145401255440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196768031040).

145401255440 is an abundant number, since it is smaller than the sum of its proper divisors (248134806640).

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

145401255440 is a wasteful number, since it uses less digits than its factorization.

145401255440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26909 (or 26896 counting only the distinct ones).

The product of its (nonzero) digits is 64000, while the sum is 35.

Adding to 145401255440 its reverse (44552104541), we get a palindrome (189953359981).

The spelling of 145401255440 in words is "one hundred forty-five billion, four hundred one million, two hundred fifty-five thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1459 1960 2918 3920 5836 7295 10213 11672 14590 20426 23344 25423 29180 40852 50846 51065 58360 71491 81704 101692 102130 116720 127115 142982 163408 177961 203384 204260 254230 285964 355922 357455 406768 408520 508460 571928 711844 714910 817040 889805 1016920 1143856 1245727 1423688 1429820 1779610 2033840 2491454 2847376 2859640 3559220 4982908 5719280 6228635 7118440 9965816 12457270 14236880 19931632 24914540 37092157 49829080 74184314 99658160 148368628 185460785 259645099 296737256 370921570 519290198 593474512 741843140 1038580396 1298225495 1483686280 1817515693 2077160792 2596450990 2967372560 3635031386 4154321584 5192901980 7270062772 9087578465 10385803960 14540125544 18175156930 20771607920 29080251088 36350313860 72700627720 145401255440