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146143950960 = 24357211412277
BaseRepresentation
bin1000100000011011011…
…0111011100001110000
3111222020000121221000110
42020012312323201300
54343300322412320
6151045420021320
713362404041530
oct2100666734160
9458200557013
10146143950960
1156a854a5467
12243a7391840
1310a2071c537
1471055cd4c0
153c052e15e0
hex2206dbb870

146143950960 has 160 divisors (see below), whose sum is σ = 520222275072. Its totient is φ = 33245936640.

The previous prime is 146143950943. The next prime is 146143950973. The reversal of 146143950960 is 69059341641.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148342 + ... + 560618.

Almost surely, 2146143950960 is an apocalyptic number.

146143950960 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 146143950960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260111137536).

146143950960 is an abundant number, since it is smaller than the sum of its proper divisors (374078324112).

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

146143950960 is a wasteful number, since it uses less digits than its factorization.

146143950960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412511 (or 412505 counting only the distinct ones).

The product of its (nonzero) digits is 699840, while the sum is 48.

The spelling of 146143950960 in words is "one hundred forty-six billion, one hundred forty-three million, nine hundred fifty thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 211 240 280 336 420 422 560 633 840 844 1055 1266 1477 1680 1688 2110 2532 2954 3165 3376 4220 4431 5064 5908 6330 7385 8440 8862 10128 11816 12660 14770 16880 17724 22155 23632 25320 29540 35448 44310 50640 59080 70896 88620 118160 177240 354480 412277 824554 1236831 1649108 2061385 2473662 2885939 3298216 4122770 4947324 5771878 6184155 6596432 8245540 8657817 9894648 11543756 12368310 14429695 16491080 17315634 19789296 23087512 24736620 28859390 32982160 34631268 43289085 46175024 49473240 57718780 69262536 86578170 86990447 98946480 115437560 138525072 173156340 173980894 230875120 260971341 346312680 347961788 434952235 521942682 608933129 692625360 695923576 869904470 1043885364 1217866258 1304856705 1391847152 1739808940 1826799387 2087770728 2435732516 2609713410 3044665645 3479617880 3653598774 4175541456 4871465032 5219426820 6089331290 6959235760 7307197548 9133996935 9742930064 10438853640 12178662580 14614395096 18267993870 20877707280 24357325160 29228790192 36535987740 48714650320 73071975480 146143950960