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345451300000 = 255525113763
BaseRepresentation
bin1010000011011101000…
…00001000010010100000
31020000200002120022000121
411001232200020102200
521124441013100000
6422410444130024
733646414413142
oct5015640102240
91200602508017
10345451300000
11123561286754
1256b4ab36914
13267643a3371
1412a116cac92
158ebca45b1a
hex506e8084a0

345451300000 has 144 divisors (see below), whose sum is σ = 853528433184. Its totient is φ = 137620000000.

The previous prime is 345451299953. The next prime is 345451300039. The reversal of 345451300000 is 3154543.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25093119 + ... + 25106881.

It is an arithmetic number, because the mean of its divisors is an integer number (5927280786).

Almost surely, 2345451300000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 345451300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (426764216592).

345451300000 is an abundant number, since it is smaller than the sum of its proper divisors (508077133184).

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

345451300000 is an equidigital number, since it uses as much as digits as its factorization.

345451300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14049 (or 14021 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 345451300000 its reverse (3154543), we get a palindrome (345454454543).

The spelling of 345451300000 in words is "three hundred forty-five billion, four hundred fifty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 251 400 500 502 625 800 1000 1004 1250 1255 2000 2008 2500 2510 3125 4000 4016 5000 5020 6250 6275 8032 10000 10040 12500 12550 13763 20000 20080 25000 25100 27526 31375 40160 50000 50200 55052 62750 68815 100000 100400 110104 125500 137630 156875 200800 220208 251000 275260 313750 344075 440416 502000 550520 627500 688150 784375 1004000 1101040 1255000 1376300 1568750 1720375 2202080 2510000 2752600 3137500 3440750 3454513 5020000 5505200 6275000 6881500 6909026 8601875 11010400 12550000 13763000 13818052 17203750 17272565 25100000 27526000 27636104 34407500 34545130 43009375 55052000 55272208 68815000 69090260 86018750 86362825 110544416 137630000 138180520 172037500 172725650 275260000 276361040 344075000 345451300 431814125 552722080 688150000 690902600 863628250 1376300000 1381805200 1727256500 2159070625 2763610400 3454513000 4318141250 6909026000 8636282500 10795353125 13818052000 17272565000 21590706250 34545130000 43181412500 69090260000 86362825000 172725650000 345451300000