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148071906240 = 2635299951431
BaseRepresentation
bin1000100111100111000…
…1011111101111000000
3112011012101102012110120
42021321301133233000
54411222401444430
6152005010500240
713461234302436
oct2117161375700
9464171365416
10148071906240
1157884804835
1224844b94680
1310c69c9048b
147249692d56
153cb96c2610
hex2279c5fbc0

148071906240 has 112 divisors (see below), whose sum is σ = 470294208000. Its totient is φ = 39471907840.

The previous prime is 148071906197. The next prime is 148071906253. The reversal of 148071906240 is 42609170841.

It is a junction number, because it is equal to n+sod(n) for n = 148071906192 and 148071906201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2853325 + ... + 2904755.

Almost surely, 2148071906240 is an apocalyptic number.

148071906240 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 148071906240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235147104000).

148071906240 is an abundant number, since it is smaller than the sum of its proper divisors (322222301760).

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

148071906240 is a wasteful number, since it uses less digits than its factorization.

148071906240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54450 (or 54440 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 42.

The spelling of 148071906240 in words is "one hundred forty-eight billion, seventy-one million, nine hundred six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 2999 5998 8997 11996 14995 17994 23992 29990 35988 44985 47984 51431 59980 71976 89970 95968 102862 119960 143952 154293 179940 191936 205724 239920 257155 287904 308586 359880 411448 479840 514310 575808 617172 719760 771465 822896 959680 1028620 1234344 1439520 1542930 1645792 2057240 2468688 2879040 3085860 3291584 4114480 4937376 6171720 8228960 9874752 12343440 16457920 24686880 49373760 154241569 308483138 462724707 616966276 771207845 925449414 1233932552 1542415690 1850898828 2313623535 2467865104 3084831380 3701797656 4627247070 4935730208 6169662760 7403595312 9254494140 9871460416 12339325520 14807190624 18508988280 24678651040 29614381248 37017976560 49357302080 74035953120 148071906240