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145513401134514 = 237171385471470983
BaseRepresentation
bin100001000101011111111010…
…100101011010110110110010
3201002012221112010011112211020
4201011133322211122312302
5123033042421142301024
61233251533355400310
742435665505503610
oct4105377245326662
9632187463145736
10145513401134514
1142401983460986
12143a157b753096
136326b1614220a
1427d0c59a006b0
1511c520e0cc979
hex8457fa95adb2

145513401134514 has 64 divisors (see below), whose sum is σ = 352169668048896. Its totient is φ = 39129345057024.

The previous prime is 145513401134503. The next prime is 145513401134567. The reversal of 145513401134514 is 415431104315541.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 98187067 + ... + 99658049.

It is an arithmetic number, because the mean of its divisors is an integer number (5502651063264).

Almost surely, 2145513401134514 is an apocalyptic number.

145513401134514 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

145513401134514 is an abundant number, since it is smaller than the sum of its proper divisors (206656266914382).

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

145513401134514 is a wasteful number, since it uses less digits than its factorization.

145513401134514 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1609559.

The product of its (nonzero) digits is 288000, while the sum is 42.

The spelling of 145513401134514 in words is "one hundred forty-five trillion, five hundred thirteen billion, four hundred one million, one hundred thirty-four thousand, five hundred fourteen".

Divisors: 1 2 3 6 7 14 17 21 34 42 51 102 119 238 357 714 138547 277094 415641 831282 969829 1470983 1939658 2355299 2909487 2941966 4412949 4710598 5818974 7065897 8825898 10296881 14131794 16487093 20593762 25006711 30890643 32974186 49461279 50013422 61781286 75020133 98922558 150040266 175046977 350093954 525140931 1050281862 203800281701 407600563402 611400845103 1222801690206 1426601971907 2853203943814 3464604788917 4279805915721 6929209577834 8559611831442 10393814366751 20787628733502 24252233522419 48504467044838 72756700567257 145513401134514