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4134489453948 = 2237101809602383
BaseRepresentation
bin111100001010100010110…
…001100111010101111100
3112122020211200022211121010
4330022202301213111330
51020214413300011243
612443205213435220
7604464334335360
oct74124261472574
915566750284533
104134489453948
111354477568a17
1256936019bb10
1323cb5ab23799
14104178b6b2a0
1572833027433
hex3c2a2c6757c

4134489453948 has 96 divisors (see below), whose sum is σ = 11148248401920. Its totient is φ = 1168139174400.

The previous prime is 4134489453889. The next prime is 4134489453953. The reversal of 4134489453948 is 8493549844314.

It is a congruent 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, 6562365 + ... + 7164747.

It is an arithmetic number, because the mean of its divisors is an integer number (116127587520).

Almost surely, 24134489453948 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 4134489453948, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5574124200960).

4134489453948 is an abundant number, since it is smaller than the sum of its proper divisors (7013758947972).

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

4134489453948 is a wasteful number, since it uses less digits than its factorization.

4134489453948 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 603307 (or 603305 counting only the distinct ones).

The product of its digits is 238878720, while the sum is 66.

The spelling of 4134489453948 in words is "four trillion, one hundred thirty-four billion, four hundred eighty-nine million, four hundred fifty-three thousand, nine hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 84 101 202 303 404 606 707 809 1212 1414 1618 2121 2427 2828 3236 4242 4854 5663 8484 9708 11326 16989 22652 33978 67956 81709 163418 245127 326836 490254 571963 602383 980508 1143926 1204766 1715889 1807149 2287852 2409532 3431778 3614298 4216681 6863556 7228596 8433362 12650043 16866724 25300086 50600172 60840683 121681366 182522049 243362732 365044098 425884781 487327847 730088196 851769562 974655694 1277654343 1461983541 1703539124 1949311388 2555308686 2923967082 3411294929 5110617372 5847934164 6822589858 10233884787 13645179716 20467769574 40935539148 49220112547 98440225094 147660337641 196880450188 295320675282 344540787829 590641350564 689081575658 1033622363487 1378163151316 2067244726974 4134489453948