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4294940669360 = 2451167494314737
BaseRepresentation
bin111110011111111110011…
…010011011010110110000
3120012120222210121002202222
4332133332122123112300
51030332014302404420
613045022444100212
7622204430222405
oct76377632332660
916176883532688
104294940669360
111406524047980
1259447ab34668
1325201b6c4373
1410bc3a5782ac
1576ac43e3225
hex3e7fe69b5b0

4294940669360 has 160 divisors (see below), whose sum is σ = 11059108457472. Its totient is φ = 1538070589440.

The previous prime is 4294940669353. The next prime is 4294940669399. The reversal of 4294940669360 is 639660494924.

It is a junction number, because it is equal to n+sod(n) for n = 4294940669293 and 4294940669302.

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, 291431912 + ... + 291446648.

Almost surely, 24294940669360 is an apocalyptic number.

4294940669360 is a gapful number since it is divisible by the number (40) 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 4294940669360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5529554228736).

4294940669360 is an abundant number, since it is smaller than the sum of its proper divisors (6764167788112).

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

4294940669360 is a wasteful number, since it uses less digits than its factorization.

4294940669360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19771 (or 19765 counting only the distinct ones).

The product of its (nonzero) digits is 60466176, while the sum is 62.

The spelling of 4294940669360 in words is "four trillion, two hundred ninety-four billion, nine hundred forty million, six hundred sixty-nine thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 67 80 88 110 134 176 220 268 335 440 536 670 737 880 1072 1340 1474 2680 2948 3685 4943 5360 5896 7370 9886 11792 14737 14740 19772 24715 29474 29480 39544 49430 54373 58948 58960 73685 79088 98860 108746 117896 147370 162107 197720 217492 235792 271865 294740 324214 331181 395440 434984 543730 589480 648428 662362 810535 869968 987379 1087460 1178960 1296856 1324724 1621070 1655905 1974758 2174920 2593712 2649448 3242140 3311810 3642991 3949516 4349840 4936895 5298896 6484280 6623620 7285982 7899032 9873790 10861169 12968560 13247240 14571964 15798064 18214955 19747580 21722338 26494480 29143928 36429910 39495160 43444676 54305845 58287856 72844991 72859820 78990320 86889352 108611690 145689982 145719640 173778704 217223380 291379964 291439280 364224955 434446760 582759928 728449910 801294901 868893520 1165519856 1456899820 1602589802 2913799640 3205179604 4006474505 4880614397 5827599280 6410359208 8012949010 9761228794 12820718416 16025898020 19522457588 24403071985 32051796040 39044915176 48806143970 53686758367 64103592080 78089830352 97612287940 107373516734 195224575880 214747033468 268433791835 390449151760 429494066936 536867583670 858988133872 1073735167340 2147470334680 4294940669360